Arkhangelʹskiĭ, A. V.
Overview
Works:  82 works in 210 publications in 3 languages and 2,260 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Translator 
Classifications:  QA611, 513.83 
Publication Timeline
.
Most widely held works by
A. V Arkhangelʹskiĭ
Topological groups and related structures by
A. V Arkhangelʹskiĭ(
)
17 editions published in 2008 in English and French and held by 460 WorldCat member libraries worldwide
This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks. The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short  almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area
17 editions published in 2008 in English and French and held by 460 WorldCat member libraries worldwide
This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks. The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short  almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area
General topology I by
A. V Arkhangelʹskiĭ(
Book
)
22 editions published between 1988 and 1990 in English and Russian and held by 414 WorldCat member libraries worldwide
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines
22 editions published between 1988 and 1990 in English and Russian and held by 414 WorldCat member libraries worldwide
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines
Fundamentals of general topology : problems and exercises by
A. V Arkhangelʹskiĭ(
Book
)
15 editions published between 1983 and 1984 in English and held by 372 WorldCat member libraries worldwide
15 editions published between 1983 and 1984 in English and held by 372 WorldCat member libraries worldwide
General topology II : compactness, homologies of general spaces by
A. V Arkhangelʹskiĭ(
Book
)
15 editions published between 1990 and 1996 in English and held by 250 WorldCat member libraries worldwide
This volume of the Encyclopaedia consists of two independent parts. The first contains a survey of results related to the concept of compactness in general topology. It highlights the role that compactness plays in many areas of general topology. The second part is devoted to homology and cohomology theories of general spaces. Special emphasis is placed on the method of sheaf theory as a unified approach to constructions of such theories. Both authors have succeeded in presenting a wealth of material that is of interest to students and researchers in the area of topology. Each part illustrates deep connections between important mathematical concepts. Both parts reflect a certain new way of looking at well known facts by establishing interesting relationships between specialized results belonging to diverse areas of mathematics
15 editions published between 1990 and 1996 in English and held by 250 WorldCat member libraries worldwide
This volume of the Encyclopaedia consists of two independent parts. The first contains a survey of results related to the concept of compactness in general topology. It highlights the role that compactness plays in many areas of general topology. The second part is devoted to homology and cohomology theories of general spaces. Special emphasis is placed on the method of sheaf theory as a unified approach to constructions of such theories. Both authors have succeeded in presenting a wealth of material that is of interest to students and researchers in the area of topology. Each part illustrates deep connections between important mathematical concepts. Both parts reflect a certain new way of looking at well known facts by establishing interesting relationships between specialized results belonging to diverse areas of mathematics
Topological function spaces by
A. V Arkhangelʹskiĭ(
Book
)
14 editions published between 1991 and 2014 in English and Undetermined and held by 210 WorldCat member libraries worldwide
14 editions published between 1991 and 2014 in English and Undetermined and held by 210 WorldCat member libraries worldwide
General topology III : paracompactness, function spaces, descriptive theory by
A. V Arhangel'skii(
Book
)
7 editions published in 1995 in English and held by 203 WorldCat member libraries worldwide
This book with its three contributions by Arhangel'skii and Choban treats important topics in general topology and their role in functional analysis and axiomatic set theory. It discusses, for instance, the continuum hypothesis, Martin's axiom; the theorems of Gel'fandKolmogorov, BanachStone, Hewitt and Nagata; the principles of comparison of the Luzin and Novikov indices. The book is written for graduate students and researchers working in topology, functional analysis, set theory and probability theory. It will serve as a reference and also as a guide to recent research results
7 editions published in 1995 in English and held by 203 WorldCat member libraries worldwide
This book with its three contributions by Arhangel'skii and Choban treats important topics in general topology and their role in functional analysis and axiomatic set theory. It discusses, for instance, the continuum hypothesis, Martin's axiom; the theorems of Gel'fandKolmogorov, BanachStone, Hewitt and Nagata; the principles of comparison of the Luzin and Novikov indices. The book is written for graduate students and researchers working in topology, functional analysis, set theory and probability theory. It will serve as a reference and also as a guide to recent research results
Eleven papers on topology by
A. V Arkhangelʹskiĭ(
Book
)
13 editions published between 1968 and 2012 in English and Undetermined and held by 54 WorldCat member libraries worldwide
13 editions published between 1968 and 2012 in English and Undetermined and held by 54 WorldCat member libraries worldwide
Osnovy obshcheĭ topologii v zadachakh i uprazhnenii︠a︡kh by
A. V Arkhangelʹskiĭ(
Book
)
1 edition published in 1974 in Russian and held by 26 WorldCat member libraries worldwide
1 edition published in 1974 in Russian and held by 26 WorldCat member libraries worldwide
General topology(
Book
)
5 editions published in 1990 in English and held by 26 WorldCat member libraries worldwide
5 editions published in 1990 in English and held by 26 WorldCat member libraries worldwide
Proceedings of the International Conference on Topology and its Applications, ICTA 2011 by International Conference on Topology and Its Applications(
Book
)
2 editions published in 2012 in English and held by 25 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 25 WorldCat member libraries worldwide
Paracompactness, function spaces, descriptive theory(
Book
)
1 edition published in 1995 in English and held by 24 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 24 WorldCat member libraries worldwide
Compactness, homologies of general spaces(
Book
)
1 edition published in 1996 in English and held by 22 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 22 WorldCat member libraries worldwide
Konechnomernye vektornye prostranstva. (Espaces vectoriels de dimension finie) by
A. V Arkhangelʹskiĭ(
Book
)
7 editions published in 1982 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
7 editions published in 1982 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
Topologicheskie prostranstva funkt︠s︡iĭ by
A. V Arkhangelʹskiĭ(
Book
)
1 edition published in 1989 in Russian and held by 16 WorldCat member libraries worldwide
1 edition published in 1989 in Russian and held by 16 WorldCat member libraries worldwide
Basic concepts and constructions ; Dimension theory(
Book
)
2 editions published in 1990 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 9 WorldCat member libraries worldwide
General topology by
John L Kelley(
Book
)
3 editions published between 1968 and 1981 in Russian and held by 8 WorldCat member libraries worldwide
Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text. As a reference, it offers a reasonably complete coverage of the area, resulting in a more extended treatment than normally given in a course. As a text, the exposition in the earlier chapters proceeds at a pedestrian pace. A preliminary chapter covers those topics requisite to the main body of work
3 editions published between 1968 and 1981 in Russian and held by 8 WorldCat member libraries worldwide
Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text. As a reference, it offers a reasonably complete coverage of the area, resulting in a more extended treatment than normally given in a course. As a text, the exposition in the earlier chapters proceeds at a pedestrian pace. A preliminary chapter covers those topics requisite to the main body of work
Osnovy obščej topologii v zadačach i upraženenijach by
A. V Arkhangelʹskiĭ(
Book
)
1 edition published in 1974 in Russian and held by 8 WorldCat member libraries worldwide
1 edition published in 1974 in Russian and held by 8 WorldCat member libraries worldwide
Topological function spaces by
A. V Arkhangelʹskiĭ(
Book
)
1 edition published in 1992 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 7 WorldCat member libraries worldwide
Topologičeskie prostranstva funkcij by
A. V Arkhangelʹskiĭ(
Book
)
5 editions published in 1989 in Russian and Undetermined and held by 6 WorldCat member libraries worldwide
5 editions published in 1989 in Russian and Undetermined and held by 6 WorldCat member libraries worldwide
General topologyEditors: A.V. Arkhangelskii and L.S. Pontryagin(
Book
)
2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
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Associated Subjects
Algebraic topology Descriptive set theory Dimension theory (Topology) Distribution (Probability theory) Functions Function spaces Generalized spaces Geometry Global analysis (Mathematics) Group theory Ktheory Logic, Symbolic and mathematical Mappings (Mathematics) Mathematics Set theory Topological algebras Topological groups Topological spaces Topology Transformations (Mathematics) Vector spaces
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Alternative Names
Alexander Arhangelskii
Alexander Arhangelskii matemático ruso
Alexander Arhangelskii mathématicien russe
Alexander Arhangelskii Russian mathematician
Alexander Arhangelskii Russisch wiskundige
Archangel'skij, Aleksandr Vladimirovič
Archangel'skij, Aleksandr Vladimirovič. [t]
Archangielski, A. W.
Arhangel'skii, A.
Arhangelʼskii, A. V.
Arhangel'skii, Aleksandr Vladimirovich 1938...
Arhangel'skii, Alexander.
Arhangelʹskii, Alexander V.
Arhangel'skij, A. V.
Arkhangelʹskiǐ, A. V.
Arkhangelʹskiĭ, Aleksandr Vladimirovich
Arkhangelśkii, Aleksandr Vladimirovich 1938...
Arkhangelskiï, Aleksandr Vladimirovitch
Arkhangelskiï, Aleksandr Vladimirovitch 1938...
Arkhangelʹskii, Alexander V.
Arkhangelʹskij, Aleksandr Vladimirovič
Архангельский, А. В., 1938
Архангельский, Александр Владимирович
Архангельский, Александр Владимирович, 1938
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