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ArticleOriginal scientific text

Title

Near metric properties of function spaces

Authors 1, 2

Affiliations

  1. Merton College, Oxford, OX1 4JD, U.K.
  2. Department of General Topology and Geometry, Faculty of Mechanics and Mathematics, Moscow State University, 119899 Moscow, Russia

Abstract

"Near metric" properties of the space of continuous real-valued functions on a space X with the compact-open topology or with the topology of pointwise convergence are examined. In particular, it is investigated when these spaces are stratifiable or cometrisable.

Keywords

ENG
function space, pointwise topology, compact-open topology, cometrisable, stratifiable

Bibliography

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Fundamenta Mathematicae
2000/164/2
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Pages:
97-114
Main language of publication
English
Received
1998-10-06
Accepted
1999-09-17
Published
2000
Exact and natural sciences