eprintid: 31297
rev_number: 14
eprint_status: archive
userid: 6514
dir: disk0/00/03/12/97
datestamp: 2022-03-01 09:57:51
lastmod: 2022-03-04 07:06:17
status_changed: 2022-03-01 09:57:51
type: doctoralThesis
metadata_visibility: show
creators_name: Rabel, Martin
title: Homotopically Stratified Cobordism Theories
subjects: ddc-510
divisions: i-110400
adv_faculty: af-11
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.
date: 2022
id_scheme: DOI
id_number: 10.11588/heidok.00031297
ppn_swb: 1794363084
own_urn: urn:nbn:de:bsz:16-heidok-312974
date_accepted: 2022-02-21
advisor: HASH(0x55a9a647caa8)
language: eng
bibsort: RABELMARTIHOMOTOPICA2022
full_text_status: public
place_of_pub: Heidelberg
citation:   Rabel, Martin  (2022) Homotopically Stratified Cobordism Theories.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/31297/1/Dissertation_Martin_Rabel.pdf