On the class of functions having infinite limit on a given set
- 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: According to [1] for a linear set A there exists a function f : R ? R such that A = Lf (R) if and only if A is a countable Gd-set. Our purpose is to prove a similar result in a more general setting and to investigate the cardinality and topological properties of the class of functions f : X ? R for which Lf (X) equals a given non-empty, countable Gd-set.
On the class of functions having infinite limit on a given set
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Additional Information
- Publication
- Colloquium Mathematicum Vol. 67, No. 2)
- Language: English
- Date: 1994
- Keywords
- Linear, cardinality, topological, proof, Hausdorf, Lindelof spaces