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Cellular spaces, null spaces and homotopy localization

In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It...

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Autor principal: Farjoun, Emmanuel Dror
Lenguaje:eng
Publicado: Springer 1996
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0094429
http://cds.cern.ch/record/1691596
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author Farjoun, Emmanuel Dror
author_facet Farjoun, Emmanuel Dror
author_sort Farjoun, Emmanuel Dror
collection CERN
description In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-16915962021-04-21T21:08:40Zdoi:10.1007/BFb0094429http://cds.cern.ch/record/1691596engFarjoun, Emmanuel DrorCellular spaces, null spaces and homotopy localizationMathematical Physics and MathematicsIn this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind.Springeroai:cds.cern.ch:16915961996
spellingShingle Mathematical Physics and Mathematics
Farjoun, Emmanuel Dror
Cellular spaces, null spaces and homotopy localization
title Cellular spaces, null spaces and homotopy localization
title_full Cellular spaces, null spaces and homotopy localization
title_fullStr Cellular spaces, null spaces and homotopy localization
title_full_unstemmed Cellular spaces, null spaces and homotopy localization
title_short Cellular spaces, null spaces and homotopy localization
title_sort cellular spaces, null spaces and homotopy localization
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0094429
http://cds.cern.ch/record/1691596
work_keys_str_mv AT farjounemmanueldror cellularspacesnullspacesandhomotopylocalization