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Thesis

Tent-maps, two-point sets, and the self-Tietze property

Abstract:

This thesis discusses three distinct topics.

A topological space X is said to be self-Tietze if for every closed C ⊂ X, every continuous f : C → X admits a continuous extension F : X → X. We show that every disconnected, self-Tietze space is ultranormal. The Tychonoff Plank is an example of a compact self-Tietze space which is not completely normal, and we establish that a completely normal, zerodimensional, ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Analytic Topology
Oxford college:
Lady Margaret Hall
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:6aaa0726-062a-428c-8dbe-03754c4d5448
Local pid:
ora:8468
Deposit date:
2014-05-21

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