Topology Proceedings
Document # baaj-95
Electronic Version 24 Spring (1999) |
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Problems section, Topology Proceedings volume 24
John C. Mayer
The Problems Editor invites anyone who has published a paper in
Topology Proceedings or has attended a Spring or Summer Topology Conference to
submit problems to this section. They need not be related to any
articles which have appeared in Topology Proceedings or elsewhere,
but if they are, please provide full references. Please define any
terms not in a general topology text nor in referenced articles.
Problems which are stated in, or relevant to, a paper in this
volume are accompanied by the title of the paper where further
information about the problem may be found. Comments of the
proposer or submitter of the questions are so noted; comments of
the Problems Editor are not specially noted. Information on the
status of previously posed questions is always welcome. Submission
of questions and comments by email in TeX form is strongly
encouraged, either to topolog@mail.auburn.edu or directly to the
Problems Editor at mayer@math.uab.edu.
Volume 24 Spring: table of contents,
information on access
Topology Proceedings Electronic Version
C. Compactness and Generalizations
69.
(Li Feng and Salvador Garcia-Ferreira,
Some Examples of $MI$-spaces and of $SI$-spaces)
What kind of spaces can be extended to maximal Tychonoff $MI$ spaces?
F. Continuum Theory
44.
(James T. Rogers, Jr.)
Let M be a hereditarily indecomposable continuum.
Assume dim M = n > 1.
Let H(M) be the homeomorphism group of M.
Can H(M) contain a nontrivial continuum?
a nontrivial connected set?
45.
(James T. Rogers, Jr.)
Can M be rigid?
i.e., the identity map is the only element of H(M)?
44--45. Comment of the proposer.
For each integer n > 1,
Rogers has exhibited an M such that H(M) contains no nontrivial connected set.
R. Dimension Theory
22.
(A. Dranishnikov and T. Januszkiewicz,
Every Coxeter group acts amenably on a compact space)
Does every discrete metric space X of bounded geometry
(for example a finitely generated group) have the property, A:
X is asymptotically finite dimensional?
23.
(A. Dranishnikov and T. Januszkiewicz, ibid.)
Assume that the Higson corona of a discrete metric space X is finite dimensional.
Does X have property A?
24.
(A. Dranishnikov and T. Januszkiewicz, ibid.)
Does every CAT(0) group have property A?
S. Problems Closely Related to Set Theory
25.
(Justin Tatch Moore,
A Linearly Fibered Souslinean Space Under MA)
Is it consistent to assume that every c.c.c. compact topological space without a
\sigma-linked base maps onto [0,1]\omega1$?
Copyright © 2001
Auburn University
and Topology Atlas |
Date published electronically: March 5, 2001.