Hilbert stratifolds and a Quillen type geometric description of cohomology for Hilbert manifolds

In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds.

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Bibliographische Detailangaben
Hauptverfasser: Kreck, Matthias (VerfasserIn) , Tene, Haggai (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 27 February 2018
In: Forum of mathematics. Sigma
Year: 2018, Jahrgang: 6
ISSN:2050-5094
DOI:10.1017/fms.2018.1
Online-Zugang:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1017/fms.2018.1
Verlag, Volltext: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma/article/hilbert-stratifolds-and-a-quillen-type-geometric-description-of-cohomology-for-hilbert-manifolds/B5EACE3FA3E61F687A561A1FB489E34D
Volltext
Verfasserangaben:Matthias Kreck and Haggai Tene
Beschreibung
Zusammenfassung:In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds.
Beschreibung:Gesehen am 12.04.2018
Beschreibung:Online Resource
ISSN:2050-5094
DOI:10.1017/fms.2018.1