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On Strongly Inflexible Manifolds.
- Source :
-
IMRN: International Mathematics Research Notices . May2023, Vol. 2023 Issue 9, p7355-7390. 36p. - Publication Year :
- 2023
-
Abstract
- An oriented closed connected $N$ -manifold $M$ is inflexible if it does not admit self-maps of unbounded degree. In addition, if all the maps from any other oriented closed connected $N$ -manifold have bounded degree, then $M$ is said to be strongly inflexible. The existence of simply-connected inflexible manifolds was established by Arkowitz and Lupton. However, the existence of simply-connected strongly inflexible manifolds is still an open question. We provide an algorithm relying on Sullivan models that allows us to prove that all, but one, of the known examples of simply-connected inflexible manifolds are not strongly inflexible. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OPEN-ended questions
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2023
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 164728935
- Full Text :
- https://doi.org/10.1093/imrn/rnac064