Date of Award
Doctor of Philosophy (PhD)
Markus J. Pflaum
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.
Chriestenson, Bryce D., "The Real Homotopy Type of Singular Spaces via The Whitney-deRham Complex" (2013). Mathematics Graduate Theses & Dissertations. 24.