Mill, J. van
Overview
Works:  251 works in 447 publications in 2 languages and 3,111 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA611, 514 
Publication Timeline
.
Most widely held works by
J. van Mill
The infinitedimensional topology of function spaces by
J. van Mill(
)
29 editions published between 2001 and 2004 in English and held by 530 WorldCat member libraries worldwide
In this book we study function spaces of low Borel complexity. Techniques from general topology, infinitedimensional topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly interesting. Among other things, a complete and selfcontained proof of the DobrowolskiMarciszewskiMogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented. In order to understand what is going on, a solid background in infinitedimensional topology is needed. And for that a fair amount of knowledge of dimension theory as well as ANR theory is needed. The necessary material was partially covered in our previous book `Infinitedimensional topology, prerequisites and introduction'. A selection of what was done there can be found here as well, but completely revised and at many places expanded with recent results. A `scenic' route has been chosen towards the DobrowolskiMarciszewskiMogilski Theorem, linking the results needed for its proof to interesting recent research developments in dimension theory and infinitedimensional topology. The first five chapters of this book are intended as a text for graduate courses in topology. For a course in dimension theory, Chapters 2 and 3 and part of Chapter 1 should be covered. For a course in infinitedimensional topology, Chapters 1, 4 and 5. In Chapter 6, which deals with function spaces, recent research results are discussed. It could also be used for a graduate course in topology but its flavor is more that of a research monograph than of a textbook; it is therefore more suitable as a text for a research seminar. The book consequently has the character of both textbook and a research monograph. In Chapters 1 through 5, unless stated otherwise, all spaces under discussion are separable and metrizable. In Chapter 6 results for more general classes of spaces are presented. In Appendix A for easy reference and some basic facts that are important in the book have been collected. The book is not intended as a basis for a course in topology; its purpose is to collect knowledge about general topology. The exercises in the book serve three purposes: 1) to test the reader's understanding of the material 2) to supply proofs of statements that are used in the text, but are not proven there 3) to provide additional information not covered by the text. Solutions to selected exercises have been included in Appendix B. These exercises are important or difficult
29 editions published between 2001 and 2004 in English and held by 530 WorldCat member libraries worldwide
In this book we study function spaces of low Borel complexity. Techniques from general topology, infinitedimensional topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly interesting. Among other things, a complete and selfcontained proof of the DobrowolskiMarciszewskiMogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented. In order to understand what is going on, a solid background in infinitedimensional topology is needed. And for that a fair amount of knowledge of dimension theory as well as ANR theory is needed. The necessary material was partially covered in our previous book `Infinitedimensional topology, prerequisites and introduction'. A selection of what was done there can be found here as well, but completely revised and at many places expanded with recent results. A `scenic' route has been chosen towards the DobrowolskiMarciszewskiMogilski Theorem, linking the results needed for its proof to interesting recent research developments in dimension theory and infinitedimensional topology. The first five chapters of this book are intended as a text for graduate courses in topology. For a course in dimension theory, Chapters 2 and 3 and part of Chapter 1 should be covered. For a course in infinitedimensional topology, Chapters 1, 4 and 5. In Chapter 6, which deals with function spaces, recent research results are discussed. It could also be used for a graduate course in topology but its flavor is more that of a research monograph than of a textbook; it is therefore more suitable as a text for a research seminar. The book consequently has the character of both textbook and a research monograph. In Chapters 1 through 5, unless stated otherwise, all spaces under discussion are separable and metrizable. In Chapter 6 results for more general classes of spaces are presented. In Appendix A for easy reference and some basic facts that are important in the book have been collected. The book is not intended as a basis for a course in topology; its purpose is to collect knowledge about general topology. The exercises in the book serve three purposes: 1) to test the reader's understanding of the material 2) to supply proofs of statements that are used in the text, but are not proven there 3) to provide additional information not covered by the text. Solutions to selected exercises have been included in Appendix B. These exercises are important or difficult
Recent progress in general topology III by
Klaas Pieter Hart(
)
19 editions published between 2013 and 2014 in English and held by 447 WorldCat member libraries worldwide
The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems
19 editions published between 2013 and 2014 in English and held by 447 WorldCat member libraries worldwide
The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems
Infinitedimensional topology : prerequisites and introduction by
J. van Mill(
Book
)
18 editions published between 1988 and 2005 in English and held by 397 WorldCat member libraries worldwide
18 editions published between 1988 and 2005 in English and held by 397 WorldCat member libraries worldwide
Open problems in topology(
Book
)
10 editions published in 1990 in English and held by 284 WorldCat member libraries worldwide
10 editions published in 1990 in English and held by 284 WorldCat member libraries worldwide
Erdős space and homeomorphism groups of manifolds by
Jan J Dijkstra(
Book
)
11 editions published in 2010 in English and held by 237 WorldCat member libraries worldwide
11 editions published in 2010 in English and held by 237 WorldCat member libraries worldwide
Recent progress in general topology by
Miroslav Hušek(
Book
)
14 editions published between 1992 and 2002 in English and held by 199 WorldCat member libraries worldwide
14 editions published between 1992 and 2002 in English and held by 199 WorldCat member libraries worldwide
Recent progress in general topology by
A. V Arkhangelʹskiĭ(
Book
)
13 editions published between 1992 and 2007 in English and held by 143 WorldCat member libraries worldwide
The book presents surveys describing recent developments in most of the primary subfields of General Topology and its applications to Algebra and Analysis during the last decade. It follows freely the previous edition (North Holland, 1992), ""Open Problems in Topology"" (North Holland, 1990) and ""Handbook of SetTheoretic Topology"" (North Holland, 1984). The book was prepared in connection with the Prague Topological Symposium, held in 2001. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs slightly from those chosen in 1992. The fol
13 editions published between 1992 and 2007 in English and held by 143 WorldCat member libraries worldwide
The book presents surveys describing recent developments in most of the primary subfields of General Topology and its applications to Algebra and Analysis during the last decade. It follows freely the previous edition (North Holland, 1992), ""Open Problems in Topology"" (North Holland, 1990) and ""Handbook of SetTheoretic Topology"" (North Holland, 1984). The book was prepared in connection with the Prague Topological Symposium, held in 2001. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs slightly from those chosen in 1992. The fol
Topological structures II : proceedings of the symposium in Amsterdam, October 31  November 2, 1978 by Symposium on Topological Structures II(
Book
)
19 editions published between 1976 and 1979 in English and Undetermined and held by 134 WorldCat member libraries worldwide
19 editions published between 1976 and 1979 in English and Undetermined and held by 134 WorldCat member libraries worldwide
Supercompactness and Wallman spaces by
J. van Mill(
Book
)
9 editions published in 1977 in English and Undetermined and held by 113 WorldCat member libraries worldwide
9 editions published in 1977 in English and Undetermined and held by 113 WorldCat member libraries worldwide
Collected papers by
Eric K Van Douwen(
Book
)
7 editions published in 1994 in English and Undetermined and held by 61 WorldCat member libraries worldwide
7 editions published in 1994 in English and Undetermined and held by 61 WorldCat member libraries worldwide
Supercompactness and Wallman spaces by
J. van Mill(
Book
)
4 editions published in 1977 in English and held by 48 WorldCat member libraries worldwide
4 editions published in 1977 in English and held by 48 WorldCat member libraries worldwide
Open problems in topology(
Book
)
1 edition published in 1990 in English and held by 23 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 23 WorldCat member libraries worldwide
Proceedings van het Symposium Wiskunde en de Computer by Symposium Wiskunde en de Computer(
Book
)
4 editions published in 1989 in Dutch and held by 18 WorldCat member libraries worldwide
4 editions published in 1989 in Dutch and held by 18 WorldCat member libraries worldwide
Collected papers by
Eric K Van Douwen(
Book
)
7 editions published in 1994 in English and Undetermined and held by 11 WorldCat member libraries worldwide
7 editions published in 1994 in English and Undetermined and held by 11 WorldCat member libraries worldwide
Infinitedimensional topology by
J. van Mill(
Book
)
2 editions published in 1989 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 11 WorldCat member libraries worldwide
Collected papers by
Eric K Van Douwen(
Book
)
6 editions published in 1994 in English and Undetermined and held by 9 WorldCat member libraries worldwide
6 editions published in 1994 in English and Undetermined and held by 9 WorldCat member libraries worldwide
Over het verschuiven van problemen naar het oneindige door middel van kleine bewegingen by
J. van Mill(
Book
)
1 edition published in 1986 in Dutch and held by 7 WorldCat member libraries worldwide
1 edition published in 1986 in Dutch and held by 7 WorldCat member libraries worldwide
Topological structures II by Topological Structures II(
Book
)
2 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
The Zuidplein Project : the Rotterdam experiment for rehabilitation of sociallyweak families by
J. van Mill(
Book
)
2 editions published in 1953 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1953 in English and held by 5 WorldCat member libraries worldwide
Topological structures II by Topological Structures II(
Book
)
2 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
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Related Identities
 Hart, K. P. Author Editor
 Simon, P. Editor
 Hušek, Miroslav 1940 Author Editor
 Reed, George M. Other Editor
 Dijkstra, Jan J. (Jan Jakobus) 1953 Author
 Baayen, P. C. Editor
 Van Douwen, Eric K. Honoree Author
 Comfort, W.W. (William Wistar) 1933 Author
 Nieuwland, G. Y.
 Brandsma, H. (Hendrik Sikke) Author
Associated Subjects
Computers Dimension theory (Topology) Dysfunctional families Family policy Family services Functional analysis Function spaces Homeomorphisms Hspaces Infinitedimensional manifolds Lie groups Life skills Locally compact spaces Logic, Symbolic and mathematical Manifolds (Mathematics) Mathematics MathematicsData processing NetherlandsRotterdam Supercompact spaces Topological groups Topological spaces Topology Van Douwen, Eric K Wallman compactifications