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Applications of convergence spaces

Published online by Cambridge University Press:  17 April 2009

Gary D. Richardson
Gary D. Richardson
Affiliation:
Department of Mathematics, East Carolina University, Greenville, North Carolina 27834, USA.
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Abstract

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Convergence notions are used extensively in the areas of probability and statistics. Many times proofs can be simplified by considering an appropriate convergence structure on the space and using well-known results from the theory of convergence spaces; for example, compactness arguments are sometimes simplified by using a generalized Ascoli theorem in the convergence space setting. The theory of convergence spaces is also used to generalize some results in probability and statistics.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1980 , pp. 107 - 123
Copyright
Copyright © Australian Mathematical Society 1980

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