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G. R. Pantsulaia
On generators of shy sets on Polish topological vector spaces
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Published: |
June 24, 2008 |
Keywords: |
Shy set, generator of shy set, Polish topological vector space |
Subject: |
Primary 28Axx, 28Cxx, 28Dxx; Secondary 28C20, 28D10, 28D99 |
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Abstract
We introduce the notion of generators of shy sets in Polish
topological vector spaces and give their various interesting
applications. In particular, we demonstrate that this class
contains specific measures which naturally generate implicitly
introduced subclasses of shy sets. Moreover, such measures
(unlike σ-finite Borel measures) possess many interesting,
sometimes unexpected, geometric properties.
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Author information
Department of Mathematics, Georgian Technical University, 77 Kostava St. 0175 Tbilisi 75, Georgia
gogi_pantsulaia@hotmail.com
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