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 Homotopy Theory and Milnor's Theorem
Stefan Waner
Transactions of the American Mathematical Society
Vol. 258, No. 2 (Apr., 1980), pp. 351-368
Published
by: American Mathematical Society
DOI: 10.2307/1998061
https://www.jstor.org/stable/1998061
Page Count: 18
You can always find the topics here!
Topics: Homotopy theory, Mathematical theorems, Approximation, Whiteheads theorem, Commutativity, Coordinate systems, Topological compactness, Completely regular spaces
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 foundations of equivariant homotopy and cellular theory are examined; an equivariant Whitehead theorem is proved, and the classical results by Milnor about spaces with the homotopy-type of a $CW$ complex are generalized to the equivariant case. The ambient group $G$ is assumed compact Lie. Further result include equivariant cellular approximation and the procedure for replacement of an arbitrary $G$-space by a $G-CW$ complex.
Transactions of the American Mathematical Society
© 1980 American Mathematical Society