On a typical property of functions

UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
Dr. Laszlo Zsilinszky, Professor (Creator)
Institution
The University of North Carolina at Pembroke (UNCP )
Web Site: http://www.uncp.edu/academics/library

Abstract: Let s be the space of all real sequences endowed with the Frechet metric g. Consider the space T of all functions / : R —* R with the uniform topology Denote by U the class of all functions/ £ T for which the set\ {a>i}i £ is cr-superporous in (s,g). Then U is residual^ i *in T, both hi and T\IA are dense-in-itself and IA is a Baire space in the relative topology.

Additional Information

Publication
Mathematica Slovaca, Vol. 45, Issue 2
Language: English
Date: 1995
Keywords
Sequence space, Superporosity, Baire space.

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