Observations on spaces with zeroset or regular -diagonals
We show that if has countable extent and has a zeroset diagonal then is submetrizable. We also make a couple of observations regarding spaces with a regular -diagonal.
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Raushan Z. Buzyakova (2005)
Commentationes Mathematicae Universitatis Carolinae
We show that if has countable extent and has a zeroset diagonal then is submetrizable. We also make a couple of observations regarding spaces with a regular -diagonal.
Luong Quoc Tuyen (2017)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we give an affirmative answer to the problem posed by Y. Tanaka and Y. Ge (2006) in "Around quotient compact images of metric spaces, and symmetric spaces", Houston J. Math. 32 (2006) no. 1, 99-117.
Szymon Plewik (1988)
Czechoslovak Mathematical Journal
Aleksander V. Arhangel'skii (1976)
Commentationes Mathematicae Universitatis Carolinae
Naidu, S.V.R., Rao, K.P.R., Rao, N.Srinivasa (2005)
International Journal of Mathematics and Mathematical Sciences
Harley, P.W. III (1989)
Portugaliae mathematica
Chaber, J. (1980)
Abstracta. 8th Winter School on Abstract Analysis
Petr Simon (1971)
Commentationes Mathematicae Universitatis Carolinae
J. Chaber, M. Čoban, Keiô Nagami (1974)
Fundamenta Mathematicae
Claudi Alsina, Enric Trillas (1977)
Stochastica
In the present note we study the effective construction of a natural generalized metric structure (on a set), obtaining as particular case the result of Menger. In the case of groups, we analyze its topology and its structure of natural proximity space (in the sense of Efremovic).
Montserrat Pons (1979)
Stochastica
Naidu, S.V.R., Rao, K.P.R., Srinivasa Rao, N. (2005)
International Journal of Mathematics and Mathematical Sciences
C. Alsina, A. Sklar, B. Schweizer (1993)
Aequationes mathematicae
Ewert, J. (1993)
Acta Mathematica Universitatis Comenianae. New Series
Naidu, S.V.R., Rao, K.P.R., Srinivasa Rao, N. (2004)
International Journal of Mathematics and Mathematical Sciences
Zhaowen Li, Shou Lin (2004)
Czechoslovak Mathematical Journal
In this paper, we give characterizations of certain weak-open images of metric spaces.
T. Nagamizu (1993)
Publications de l'Institut Mathématique
Bandlow, Ingo (1984)
Proceedings of the 12th Winter School on Abstract Analysis
Zhaowen Li (2006)
Czechoslovak Mathematical Journal
In this paper, we give some characterizations of metric spaces under weak-open -mappings, which prove that a space is -developable (or Cauchy) if and only if it is a weak-open -image of a metric space.
Li, Zhaowen (2005)
International Journal of Mathematics and Mathematical Sciences
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