Preview |
PDF, English (PDF-A1b)
- main document
Download (2MB) | Terms of use |
Abstract
This thesis studies the geometric properties related to certain transversality statements on singular spaces, in a purely topological setting. These enter in the main part -- the construction of a generalized homology theory realized via bordism of such singular spaces -- through the inverse of the excision-isomorphism, the most difficult aspect of that problem. The relevancy of this homology theory is due to the unification of both, possessing a geometric description, establishing geometric fundamental-classes, and at the same time being well-suited to study inherently topological phenomena, like homeomorphism-invariance of said fundamental-classes, even in the absence of pl-structures. As an application, the invariance of Goresky--MacPherson L-classes under certain homeomorphisms is demonstrated.
Document type: | Dissertation |
---|---|
Supervisor: | Banagl, Prof. Dr. Markus |
Place of Publication: | Heidelberg |
Date of thesis defense: | 21 February 2022 |
Date Deposited: | 01 Mar 2022 09:57 |
Date: | 2022 |
Faculties / Institutes: | The Faculty of Mathematics and Computer Science > Institut für Mathematik |
DDC-classification: | 510 Mathematics |