Graduate Thesis Or Dissertation

 

Homology theory of submersions Público Deposited

Conteúdo disponível para baixar

Baixar PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/ms35tc01w

Descriptions

Attribute NameValues
Creator
Abstract
  • In this dissertation we construct a homology theory on the category of submersions which generalizes the homology of the base space with coefficients in the homology of the fiber as given by the E²-terms of the Serre spectral sequence of a fiber bundle. The main motivation for this new homology theory is the fact that it permits a generalization of the Serre spectral sequence to arbitrary submersions. The homology theory in question is first defined on a category of combinatorial objects called simplicial bundles which at once generalize the notion of fiber bundles (over polyhedra) and simplicial complexes. We next enlarge the category of submersions to include all direct limits of simplicial bundles and extend the homology functor by a category-theoretic construction. The resultant theory is shown to satisfy axioms of Eilenberg-Steenrod type, and we prove a uniqueness theorem.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Committee Member
Academic Affiliation
Non-Academic Affiliation
Subject
Declaração de direitos
Publisher
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces

Relações

Parents:

This work has no parents.

Em Collection:

Itens