Date of Award

Spring 1-1-2013

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Markus J. Pflaum

Second Advisor

Sebastian Casalaina-Martin

Third Advisor

Judith Packer

Fourth Advisor

Jonathan Wise

Fifth Advisor

Marty Walter

Abstract

This thesis studies certain invariants associated to a stratified space. These invariants are the Whitney-de Rham cohomology, it is the cohomology of a chain complex called the Whitney-de Rham complex of differential forms. At first glance this chain complex, and its cohomology appear to depend on several choices. The purpose of this thesis is twofold. First, to show that these invariants only depend on the homotopy type of the stratified space. Second, to show that the Whitney-de Rham Complex determines the real homotopy type of the space.

Included in

Mathematics Commons

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