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Topics in topology

The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In t...

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Detalles Bibliográficos
Autor principal: Todorcevic, Stevo
Lenguaje:eng
Publicado: Springer 1997
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0096295
http://cds.cern.ch/record/1691638
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author Todorcevic, Stevo
author_facet Todorcevic, Stevo
author_sort Todorcevic, Stevo
collection CERN
description The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces.
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publishDate 1997
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spelling cern-16916382021-04-21T21:08:19Zdoi:10.1007/BFb0096295http://cds.cern.ch/record/1691638engTodorcevic, StevoTopics in topologyMathematical Physics and MathematicsThe book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces.Springeroai:cds.cern.ch:16916381997
spellingShingle Mathematical Physics and Mathematics
Todorcevic, Stevo
Topics in topology
title Topics in topology
title_full Topics in topology
title_fullStr Topics in topology
title_full_unstemmed Topics in topology
title_short Topics in topology
title_sort topics in topology
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0096295
http://cds.cern.ch/record/1691638
work_keys_str_mv AT todorcevicstevo topicsintopology