Cellular Spaces, Null Spaces And Homotopy Localization (lecture Notes In Mathematics)
by Emmanuel D. Farjoun /
2008 / English / PDF
8.5 MB Download
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.
