title: Homotopically Stratified Cobordism Theories
creator: Rabel, Martin
subject: ddc-510
subject: 510 Mathematics
description: 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.
date: 2022
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/31297/1/Dissertation_Martin_Rabel.pdf
identifier: DOI:10.11588/heidok.00031297
identifier: urn:nbn:de:bsz:16-heidok-312974
identifier:   Rabel, Martin  (2022) Homotopically Stratified Cobordism Theories.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/31297/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng