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Towards Linked Topology

Tetik, Ödül. Towards Linked Topology. 2024, University of Zurich, Faculty of Science.

Abstract

We introduce the notions of linked space, linked quasi-category and linked manifold, which are certain spans of the ordinary versions of the respective objects, and which model stratified spaces of various kinds. We then transfer, in depth 1, certain phenomena and constructions from stratified topology to this setting, such as exit path quasi-categories and the beginnings of a stratified bundle theory. We then discuss and extend the topology underlying a construction of J. Lurie, which associates a functorial field theory to any framed disk algebra, to arbitrary tangential structure, as well as an incorporation of defects which is native to the linked setting.

Additional indexing

Item Type:Dissertation (monographical)
Referees:Cattaneo Alberto S, Ayoub Joseph, Willwacher Thomas
Communities & Collections:07 Faculty of Science > Institute of Mathematics
UZH Dissertations
Dewey Decimal Classification:510 Mathematics
Language:English
Place of Publication:Zürich
Date:26 March 2024
Deposited On:26 Mar 2024 13:47
Last Modified:21 May 2024 20:48
Number of Pages:183
OA Status:Green
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