Abstract
We determine all closed orientable geometrizable prime –manifolds that admit a degree or self-map not homotopic to a homeomorphism.
Citation
Hongbin Sun. "Degree $\pm1$ self-maps and self-homeomorphisms on prime $3$–manifolds." Algebr. Geom. Topol. 10 (2) 867 - 890, 2010. https://doi.org/10.2140/agt.2010.10.867
Information
Received: 16 September 2009; Revised: 4 February 2010; Accepted: 24 February 2010; Published: 2010
First available in Project Euclid: 19 December 2017
zbMATH: 1188.57014
MathSciNet: MR2629768
Digital Object Identifier: 10.2140/agt.2010.10.867
Subjects:
Primary:
57M05
,
57M50
Secondary:
20F34
Keywords:
degree $\pm 1$ self-map
,
homeomorphism
,
mapping class group
,
Seifert manifold
Rights: Copyright © 2010 Mathematical Sciences Publishers
