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Topological convexity spaces

Published online by Cambridge University Press:  20 January 2009

Victor Bryant
Victor Bryant
Affiliation:
Department of Pure Mathematics, The University of Sheffield
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We shall start by recalling the definition and some basic properties of a convexity space; a topological convexity space (tcs) will then be a convexity space together with an admissible topology, and will be a generalisation of a topological vector space (tvs). After showing that the usual tvs results connecting the linear and topological properties extend to this new setting we then prove a form of the Krein-Milman theorem in a tcs.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 2 , September 1974 , pp. 125 - 132
Copyright
Copyright © Edinburgh Mathematical Society 1974

References

REFERENCES

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