A generalization of one of the Noguchi fixed point theorems is presented. We prove that there exists a compact noncollapsible acyclic Q-manifold with the fixed point property. A topological space with the fixed point σ-property is introduced and studied and an example of a noncompact set in R2 with the fixed point property is given.
- Fixed point
- 1.02 COMPUTER AND INFORMATION SCIENCES
- 1.01 MATHEMATICS