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A note on sequence-covering mappings.
- Source :
- Acta Mathematica Hungarica; May2005, Vol. 107 Issue 3, p187-191, 5p
- Publication Year :
- 2005
-
Abstract
- Let <em>f</em>: <em>X</em>→ <em>Y</em> be a mapping. <em>f</em> is called a sequence-covering mapping if in case <em>S</em> is a convergent sequence containing its limit point in <em>Y</em> then there is a compact subset <em>K</em> of <em>X</em> such that <em>f</em>( <em>K</em>) = <em>S</em>. It is shown that each quotient and compact mapping of a metric space is sequence-covering. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 107
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 16795387
- Full Text :
- https://doi.org/10.1007/s10474-005-0189-8