TY  - GEN
CY  - Heidelberg
AV  - public
Y1  - 2022///
TI  - Homotopically Stratified Cobordism Theories
ID  - heidok31297
N2  - 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.
A1  - Rabel, Martin
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/31297/
ER  -