COMPACT-GROUPS AND FIXED-POINT SETS

Authors
CHIGOGIDZE A HOFMANN KH MARTIN JR
Citation
A. Chigogidze et al., COMPACT-GROUPS AND FIXED-POINT SETS, Transactions of the American Mathematical Society, 349(11), 1997, pp. 4537-4554
Citations number
23
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
349
Issue
11
Year of publication
1997
Pages
4537 - 4554
Database
ISI
SICI code
0002-9947(1997)349:11<4537:CAFS>2.0.ZU;2-D
Abstract
Some structure theorems for compact abelian groups are derived and use d to show that every closed subset of an infinite compact metrizable g roup is the fixed point set of an autohomeomorphism. It is also shown that any metrizable product containing a positive-dimensional compact group as a factor has the property that every closed subset is the fix ed point set of an autohomeomorphism.