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Cellular Spaces, Null Spaces and Homotopy Localization
Taschenbuch von Emmanuel D. Farjoun
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
Coaugmented homotopy idempotent localization functors.- Augmented homotopy idempotent functors.- Commutation rules for ?, Lf and CWA, preservation of fibrations and cofibrations.- Dold-Thom symmetric products and other colimits.- General theory of fibrations, GEM error terms.- Homological localization nearly preserves fibrations.- Classification of nullity and cellular types of finite p-torsion suspension spaces.- v 1-periodic spaces and K-theory.- Cellular inequalities.
Details
Erscheinungsjahr: 1995
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xiv
206 S.
ISBN-13: 9783540606048
ISBN-10: 3540606041
Sprache: Englisch
Herstellernummer: 10479706
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Farjoun, Emmanuel D.
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 13 mm
Von/Mit: Emmanuel D. Farjoun
Erscheinungsdatum: 14.12.1995
Gewicht: 0,341 kg
Artikel-ID: 102574606
Inhaltsverzeichnis
Coaugmented homotopy idempotent localization functors.- Augmented homotopy idempotent functors.- Commutation rules for ?, Lf and CWA, preservation of fibrations and cofibrations.- Dold-Thom symmetric products and other colimits.- General theory of fibrations, GEM error terms.- Homological localization nearly preserves fibrations.- Classification of nullity and cellular types of finite p-torsion suspension spaces.- v 1-periodic spaces and K-theory.- Cellular inequalities.
Details
Erscheinungsjahr: 1995
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xiv
206 S.
ISBN-13: 9783540606048
ISBN-10: 3540606041
Sprache: Englisch
Herstellernummer: 10479706
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Farjoun, Emmanuel D.
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 13 mm
Von/Mit: Emmanuel D. Farjoun
Erscheinungsdatum: 14.12.1995
Gewicht: 0,341 kg
Artikel-ID: 102574606
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