Buch, Englisch, Band 1622, 206 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 341 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1622, 206 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 341 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-60604-8
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Topologie Algebraische Topologie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Geometrie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
Weitere Infos & Material
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.
