Author ORCID Identifier

http://orcid.org/0000-0002-2117-3053

Degree Year

2022

Document Type

Thesis - Open Access

Degree Name

Bachelor of Arts

Department

Mathematics

Keywords

Mazur, Poénaru, 4-manifolds, Jester manifolds

Abstract

Compact, contractible 4-manifolds distinct from D^4 were first constructed by Mazur and Poénaru. Sparks defined a collection of compact, contractible 4-manifolds called Jester manifolds. We study Mazur and Jester 4-manifolds. In particular, we show that all Jester manifolds are not homeomorphic to D^4, and that a collection of them are pairwise nonhomeomorphic.

Included in

Mathematics Commons

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