If You Use a Screen Reader
This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Journal Article
Equivariant Maps Which are Self Homotopy Equivalences
E. Dror, W. G. Dwyer and D. M. Kan
Proceedings of the American Mathematical Society
Vol. 80, No. 4 (Dec., 1980), pp. 670-672
Published
by: American Mathematical Society
DOI: 10.2307/2043448
https://www.jstor.org/stable/2043448
Page Count: 3
You can always find the topics here!
Topics: Equivalence relation, Mathematical theorems, Functors, Homotopy theory, Mathematical sets, Adjoints, Algebra
Were these topics helpful?
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Abstract
The aim of this note is (i) to give (in $\S2$) a precise statement and proof of the (to some extent well-known) fact that the most elementary homotopy theory of ``simplicial sets on which a fixed simplicial group H acts" is equivalent to the homotopy theory of ``simplicial sets over the classifying complex $\bar{W}H$", and (ii) to use this (in $\S1$) to prove a classification theorem for simplicial sets with an $H$-action, which provides classifying complexes for their equivariant maps which are self homotopy equivalences.
Proceedings of the American Mathematical Society
© 1980 American Mathematical Society