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$W θ g$ -closed and $W δ g$ -closed in $[0, 1]$ -topological spaces.

El-Shafei, M.E., Zakari, A.H. (2011)

International Journal of Mathematics and Mathematical Sciences

Warped compact foliations

Szymon M. Walczak (2008)

Annales Polonici Mathematici

The notion of the Hausdorffized leaf space $\tilde{}$ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to $\tilde{}$ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to $\tilde{}$ is shown. Finally, some examples are examined.

Weak calibers and the Scott-Watson theorem

Alessandro Fedeli (1996)

Czechoslovak Mathematical Journal

Weak continuity of fuzzy-valued maps

A. Jankowska (1990)

Matematički Vesnik

Weak extent in normal spaces

Ronnie Levy, Mikhail Matveev (2005)

Commentationes Mathematicae Universitatis Carolinae

If $X$ is a space, then the weak extent $we (X)$ of $X$ is the cardinal $min {α :$ If $𝒰$ is an open cover of $X$ , then there exists $A \subseteq X$ such that $| A | = α$ and $St (A, 𝒰) = X}$ . In this note, we show that if $X$ is a normal space such that $| X | = 𝔠$ and $we (X) = ω$ , then $X$ does not have a closed discrete subset of cardinality $𝔠$ . We show that this result cannot be strengthened in ZFC to get that the extent of $X$ is smaller than $𝔠$ , even if the condition that $we (X) = ω$ is replaced by the stronger condition that $X$ is separable.

Weak forms of continuity in fuzzy topology

Z. Petrićević (1990)

Matematički Vesnik

Weakly fuzzy topological entropy

B M Uzzal Afsan (2022)

Mathematica Bohemica

In 2005, İ. Tok fuzzified the notion of the topological entropy R. A. Adler et al. (1965) using the notion of fuzzy compactness of C. L. Chang (1968). In the present paper, we have proposed a new definition of the fuzzy topological entropy of fuzzy continuous mapping, namely weakly fuzzy topological entropy based on the notion of weak fuzzy compactness due to R. Lowen (1976) along with its several properties. We have shown that the topological entropy R. A. Adler et al. (1965) of continuous mapping...

Weakly induced modifications of $I$ -fuzzy topologies.

Yue, Yueli, Fang, Jinming (2006)

International Journal of Mathematics and Mathematical Sciences

Weight of a compactification and generating sets of functions

A. Caterino, M. C. Vipera (1988)

Rendiconti del Seminario Matematico della Università di Padova

Weights of denumerable topological spaces

Stanley Burris (1974)

Fundamenta Mathematicae

Well-chainedness and connectedness.

Pataki, G., Száz, Á. (2003)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Well-posed minimum problems for preorders

Fioravante Patrone (1990)

Rendiconti del Seminario Matematico della Università di Padova

What should be a rate of convergence ?

Vlastimil Pták (1977)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

When is $𝐍$ Lindelöf?

Horst Herrlich, George E. Strecker (1997)

Commentationes Mathematicae Universitatis Carolinae

Theorem. In ZF (i.e., Zermelo-Fraenkel set theory without the axiom of choice) the following conditions are equivalent: (1) $ℕ$ is a Lindelöf space, (2) $ℚ$ is a Lindelöf space, (3) $ℝ$ is a Lindelöf space, (4) every topological space with a countable base is a Lindelöf space, (5) every subspace of $ℝ$ is separable, (6) in $ℝ$ , a point $x$ is in the closure of a set $A$ iff there exists a sequence in $A$ that converges to $x$ , (7) a function $f : ℝ \to ℝ$ is continuous at a point $x$ iff $f$ is sequentially continuous at $x$ , (8)...

Currently displaying 1 – 14 of 14

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