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The infinite-dimensional topology of function spaces
In this book we study function spaces of low Borel complexity.Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theoryare primarily used for the study of these spaces. The mix ofmethods from several disciplines makes the subjectparticularly inte...
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Lenguaje: | eng |
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North-Holland
2001
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Acceso en línea: | http://cds.cern.ch/record/582176 |
_version_ | 1780899470941093888 |
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author | Van Mill, J |
author_facet | Van Mill, J |
author_sort | Van Mill, J |
collection | CERN |
description | In this book we study function spaces of low Borel complexity.Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theoryare primarily used for the study of these spaces. The mix ofmethods from several disciplines makes the subjectparticularly interesting. Among other things, a complete and self-contained proof of the Dobrowolski-Marciszewski-Mogilski 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 ininfinite-dimensional topology |
id | cern-582176 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2001 |
publisher | North-Holland |
record_format | invenio |
spelling | cern-5821762021-04-22T02:42:52Zhttp://cds.cern.ch/record/582176engVan Mill, JThe infinite-dimensional topology of function spacesMathematical Physics and MathematicsIn this book we study function spaces of low Borel complexity.Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theoryare primarily used for the study of these spaces. The mix ofmethods from several disciplines makes the subjectparticularly interesting. Among other things, a complete and self-contained proof of the Dobrowolski-Marciszewski-Mogilski 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 ininfinite-dimensional topologyNorth-Hollandoai:cds.cern.ch:5821762001 |
spellingShingle | Mathematical Physics and Mathematics Van Mill, J The infinite-dimensional topology of function spaces |
title | The infinite-dimensional topology of function spaces |
title_full | The infinite-dimensional topology of function spaces |
title_fullStr | The infinite-dimensional topology of function spaces |
title_full_unstemmed | The infinite-dimensional topology of function spaces |
title_short | The infinite-dimensional topology of function spaces |
title_sort | infinite-dimensional topology of function spaces |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/582176 |
work_keys_str_mv | AT vanmillj theinfinitedimensionaltopologyoffunctionspaces AT vanmillj infinitedimensionaltopologyoffunctionspaces |