Pure filters and stable topology on BL-algebras

Esfandiar Eslami; Farhad Kh. Haghani

Displaying similar documents to “Pure filters and stable topology on BL-algebras”

On the extensibility of closed filters in T $_{1}$ spaces and the existence of well orderable filter bases

Kyriakos Keremedis, Eleftherios Tachtsis (1999)

Commentationes Mathematicae Universitatis Carolinae

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We show that the statement CCFC = “” is equivalent to the CMC and, the axiom of choice AC is equivalent to the statement CFE $_{0}$ = “”. We also show that AC is equivalent to each of the assertions: “”, “” and “”.

Completions of non- $T_{2}$ filter spaces.

Rath, Nandita (2005)

International Journal of Mathematics and Mathematical Sciences

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On meager function spaces, network character and meager convergence in topological spaces

Taras O. Banakh, Volodymyr Mykhaylyuk, Lubomyr Zdomsky (2011)

Commentationes Mathematicae Universitatis Carolinae

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For a non-isolated point $x$ of a topological space $X$ let ${nw}_{χ} (x)$ be the smallest cardinality of a family $𝒩$ of infinite subsets of $X$ such that each neighborhood $O (x) \subset X$ of $x$ contains a set $N \in 𝒩$ . We prove that (a) each infinite compact Hausdorff space $X$ contains a non-isolated point $x$ with ${nw}_{χ} (x) = ℵ_{0}$ ; (b) for each point $x \in X$ with ${nw}_{χ} (x) = ℵ_{0}$ there is an injective sequence ${(x_{n})}_{n \in ω}$ in $X$ that $ℱ$ -converges to $x$ for some meager filter $ℱ$ on $ω$ ; (c) if a functionally Hausdorff space $X$ contains an $ℱ$ -convergent injective sequence for some...

Displaying similar documents to “Pure filters and stable topology on BL-algebras”

On the extensibility of closed filters in T 1 spaces and the existence of well orderable filter bases

Completions of non- T 2 filter spaces.

On meager function spaces, network character and meager convergence in topological spaces

On the extensibility of closed filters in T $_{1}$ spaces and the existence of well orderable filter bases

Completions of non- $T_{2}$ filter spaces.