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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Authors
Contributors
+ Knight, R
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
+ Collins, P
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Davies, G
Bibliographic Details
- Publication date:
- 2011
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:6aaa0726-062a-428c-8dbe-03754c4d5448
- Local pid:
- ora:8468
- Deposit date:
- 2014-05-21
Terms of use
- Copyright holder:
- Davies, G
- Copyright date:
- 2011
- Notes:
- This thesis is not currently available in ORA.
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