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Topological and Piecewise Linear Pseudoisotopy Functors

dc.contributor.advisorLück, Wolfgang
dc.contributor.authorEnkelmann, Nils-Edvin
dc.date.accessioned2020-04-26T12:37:09Z
dc.date.available2020-04-26T12:37:09Z
dc.date.issued16.05.2019
dc.identifier.urihttp://hdl.handle.net/20.500.11811/7911
dc.description.abstractWe construct two functors Pstrict:Top →Top and strict:Top → Spectra such that for a compact manifold M the space Pstrict(M) has the homotopy type of the stable topological pseudoisotopy space of M and strict(M) has the homotopy type of the topological pseudoisotopy spectrum of M. Both functors also induce homotopy functors that agree with the homotopy functor defined by Hatcher in 1978. The main idea of the construction is to build a homotopy coherent diagram out of induced maps as defined by Hatcher, then strictify the diagram and finally use a left Kan extension to extend the domain of the functor to the whole category Top of topological spaces. Our construction generalizes to the piecewise linear category and also yields piecewise linear versions of the two functors.
The functor Pstrict was already used in the work of other authors, although no complete construction of it existed prior to this work. We aim to close this gap in the literature.
dc.language.isoeng
dc.rightsIn Copyright
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectHomotopietheorie
dc.subjectHomotopiefunktor
dc.subjectPseudoisotopie
dc.subjectSpektren
dc.subjectTopologische Mannigfaltigkeiten
dc.subjectstückweise lineare Mannigfaltigkeiten
dc.subjecthomotopy theory
dc.subjecthomotopy functors
dc.subjectpseudo-isotopy
dc.subjectspectra
dc.subjecttopological manifolds
dc.subjectpiecewise-linear manifolds
dc.subject.ddc510 Mathematik
dc.titleTopological and Piecewise Linear Pseudoisotopy Functors
dc.typeDissertation oder Habilitation
dc.publisher.nameUniversitäts- und Landesbibliothek Bonn
dc.publisher.locationBonn
dc.rights.accessRightsopenAccess
dc.identifier.urnhttps://nbn-resolving.org/urn:nbn:de:hbz:5n-54308
ulbbn.pubtypeErstveröffentlichung
ulbbnediss.affiliation.nameRheinische Friedrich-Wilhelms-Universität Bonn
ulbbnediss.affiliation.locationBonn
ulbbnediss.thesis.levelDissertation
ulbbnediss.dissID5430
ulbbnediss.date.accepted30.01.2019
ulbbnediss.instituteMathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut
ulbbnediss.fakultaetMathematisch-Naturwissenschaftliche Fakultät
dc.contributor.coRefereeSteimle, Wolfgang


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