Date of Award

Spring 1-1-2011

Document Type

Thesis

Degree Name

Master of Arts (MA)

Department

Mathematics

First Advisor

Carla Farsi

Second Advisor

Martin Walter

Third Advisor

Markus Pflaum

Abstract

Let W be a compact and smooth manifold, whose dimension greater than 5, with boundary components V and V'. Suppose that W, V, and V' are all simply connected, and the homology group of the pair (W, V) is trivial. The h-Cobordism Theorem States that W is diffeomorphic to a product cobordism.

In this paper we will follow a classical technique developed by John Milnor in his "Lectures on the h-Cobordism Theorems" half a century ago.

Included in

Mathematics Commons

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