Parametrized Homotopy Theory
Paths and cylinders
Special and general types
This entry is about the book
- May, Sigurdsson, Parametrized Homotopy Theory (pdf)
which discusses homotopy theory and cohomology over base spaces, hence in slice categories Top for given topological base spaces : the homotopy theory of parametrized spectra.
A survey is in the slides
One application is twisted cohomology: instead of cocycles given by maps , twisted cocycles are given by sections of a bundle of spectra over .
A discussion of some of these issues using tools from (infinity,1)-category theory are in
Revised on April 24, 2013 01:03:32
by Urs Schreiber