Thesis

### Boundary properties and construction techniques in general topology

Abstract:

The aim of this thesis is twofold. First, we investigate spaces defined by asserting that their nowhere dense subsets have certain properties. Secondly, we develop some techniques for the construction of topological spaces.

We consider spaces where the nowhere dense sets are asserted to have some property P, calling such spaces boundary-P. We show that if there are no Lusin spaces then every compact boundary-metrizable space is metrizable. Boundary-separability is also studied and w...

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Institution:
University of Oxford
Research group:
Brilliant Oxford Topologists Youth Movement
Oxford college:
Corpus Christi College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

#### Contributors

Role:
Supervisor
Role:
Supervisor
Publication date:
1995
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:b0235cac-0478-47a8-858a-5e195d257770
Local pid:
ora:12354
Language:
English
Keywords:
Subjects: