Department of Mathematics
Title : Selections and metrisability of manifolds
| Speaker: Prof. David Gauld Affiliation: University of Auckland Time: 12pm Thursday, 9 May, 2013 Location: 303-412 |
Abstract
| It is not surprising that so many who study manifolds ask that their manifolds be metrisable as they mark a serious watershed. Perhaps unsurprisingly such a major watershed is marked by more than just metrisability: I have a collection of over 120 topological properties many of which seem rather different superficially yet are all equivalent to metrisability when restricted to a manifold. Recently I have been exploring links between metrisability and selection principles on a manifold. In this talk I shall describe some of my discoveries involving finite selections. There seems to be a fairly general metatheorem saying that if a selection principle holds in the reals then it holds in every metrisable manifold and I shall illustrate this. |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
