Thesis

### Radiality and spokes: a structural theory of convergence

Abstract:

This thesis is a wide-ranging investigation of convergence properties in topological spaces, primarily Fréchet-Urysohn and radial spaces. The former are spaces such that every point in a closure of a subset is the limit of a sequence from within that set. The latter is a generalisation, defined by replacing 'sequence' with 'transfinite sequence'. Although not all spaces have these properties, they form a large enough class to encompass many important examples of spaces.

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### Authors

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Department:
Cardiff University
Role:
Author

#### Contributors

Role:
Supervisor
Department:
University of South Carolina
Role:
Examiner
Role:
Examiner
Type of award:
DPhil
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects: