Near metric properties of function spaces

• Autorzy: P. M. Gartside , E. A. Reznichenko
• Języki publikacji: EN

Abstrakty

EN

"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.

Słowa kluczowe

EN

function space; pointwise topology; compact-open topology; cometrisable; stratifiable

Kategorie tematyczne

• 54E20: Stratifiable spaces, cosmic spaces, etc.
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 54D45: Local compactness, σ -compactness

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2000
• Tom: 164
• Numer: 2
• Strony: 97-114

Daty

wydano

2000

otrzymano

1998-10-06

poprawiono

1999-09-17

poprawiono

2000-01-21

Twórcy

autor

P. M. Gartside

• Merton College, Oxford, OX1 4JD, U.K.

autor

E. A. Reznichenko

• Department of General Topology and Geometry, Faculty of Mechanics and Mathematics, Moscow State University, 119899 Moscow, Russia

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