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|Title:||Homotopy Self-Equivalences of Four-Manifolds|
|Keywords:||homotopy, self-equivalences, four-manifold, Hambleton, Kreck,|
|Abstract:||In this thesis, we study the group of base-point preserving homotopy classes of homotopy self-equivalences of a four-manifold. Based on the approach of Hambleton and Kreck, an explicit description of this group is obtained when the fundamental group of the manifold is either a free group or a two-dimensional Poincare duality group. As a byproduct, a classification of such four-manifolds up to s-cobordism is obtained by using the modified surgery theory of Kreck.|
|Appears in Collections:||Open Access Dissertations and Theses|
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|Pamuk Mehmetcik.pdf||4.36 MB||Adobe PDF||View/Open|
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