A product space with the fixed point property
Author:
W. L. Young
Journal:
Proc. Amer. Math. Soc. 25 (1970), 313-317
MSC:
Primary 54.85
DOI:
https://doi.org/10.1090/S0002-9939-1970-0256381-6
MathSciNet review:
0256381
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: R. H. Bing, Amer. Math. Monthly 76 (1969), 119-132, utilizes an example of a $1$-dimensional arcwise connected continuum $X$ in ${E^3}$ with the fixed point property. His question (5) asks if $X \times I$ has the fixed point property. The answer is yes, and the proof given uses standard techniques of point-set topology.
- R. H. Bing, The elusive fixed point property, Amer. Math. Monthly 76 (1969), 119–132. MR 236908, DOI https://doi.org/10.2307/2317258
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54.85
Retrieve articles in all journals with MSC: 54.85
Additional Information
Keywords:
Fixed point property,
<IMG WIDTH="16" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$1$">-dimensional arcwise connected continuum,
product space
Article copyright:
© Copyright 1970
American Mathematical Society