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Bing's dogbone space and curtis' conjecture Hutchings, John Edward

Abstract

Bing's dogbone space D is an upper semi continuous decomposition space of E³ which fails to be E³ although the associated decomposition consists only of points and tame arcs. It has proved difficult to find topological properties of D which distinguish it from E³. In this paper, we prove a conjecture of Morton Curtis in 1961 that certain points of D fail to possess small simply connected neighbourhoods.

Item Metadata

Title
Bing's dogbone space and curtis' conjecture
Creator
Hutchings, John Edward
Publisher
University of British Columbia
Date Issued
1973
Description
Bing's dogbone space D is an upper semi continuous decomposition space of E³ which fails to be E³ although the associated decomposition consists only of points and tame arcs. It has proved difficult to find topological properties of D which distinguish it from E³. In this paper, we prove a conjecture of Morton Curtis in 1961 that certain points of D fail to possess small simply connected neighbourhoods.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2011-03-03
Provider
Vancouver : University of British Columbia Library
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI
10.14288/1.0080386
URI
http://hdl.handle.net/2429/32041
Degree (Theses)
Doctor of Philosophy - PhD
Program (Theses)
Mathematics
Affiliation
Science, Faculty of; Mathematics, Department of
Degree Grantor
University of British Columbia
Campus
UBCV
Scholarly Level
Graduate
Aggregated Source Repository
DSpace

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For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.