Files in this item

FilesDescriptionFormat

application/pdf

application/pdf9712484.pdf (2MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:O-minimal homology
Author(s):Woerheide, Arthur Anderson
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:The purpose of this dissertation is to define homology functors for the category of definable sets and definable continuous maps in an o-minimal expansion of an ordered field. Both simplicial and singular homology functors are defined, and they are shown to satisfy the Eilenberg-Steenrod axioms. The singular homology functor is used to prove o-minimal analogues of the Jordan-Brouwer separation theorem and Brouwer's invariance of domain theorem.
Issue Date:1996
Type:Text
Language:English
URI:http://hdl.handle.net/2142/19648
ISBN:9780591199666
Rights Information:Copyright 1996 Woerheide, Arthur Anderson
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9712484
OCLC Identifier:(UMI)AAI9712484


This item appears in the following Collection(s)

Item Statistics