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ArticleOriginal scientific text

Title

Classical-type characterizations of non-metrizable ANE(n)-spaces

Authors 1, 2

Affiliations

  1. Institute of Mathematics with Computer Center, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 8, 1113 Sofia, Bulgaria
  2. Department of Mathematics, University of Sofia, 5 James Bourchier Blvd., 1126 Sofia, Bulgaria

Abstract

The Kuratowski-Dugundji theorem that a metrizable space is an absolute (neighborhood) extensor in dimension n iff it is LCn-1&Cn-1 (resp., LCn-1) is extended to a class of non-metrizable absolute (neighborhood) extensors in dimension n. On this base, several facts concerning metrizable extensors are established for non-metrizable ones.

Keywords

ENG
absolute (neighborhood) extensor in dimension n, n-regular base, n-regular extension operator

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm145/fm14533.pdf

Fundamenta Mathematicae
1994/145/3
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Pages:
243-259
Main language of publication
English
Received
1993-03-10
Accepted
1993-11-10
Published
1994
Exact and natural sciences