Epis in categories of convergence spaces

1993 ◽  
Vol 61 (3-4) ◽  
pp. 195-201 ◽  
Author(s):  
D. Dikranjan ◽  
E. Giuli
Keyword(s):  
Convergence Spaces

scholarly journals Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces

2021 ◽  
Author(s):  
Bin Pang ◽  
Lin Zhang
Keyword(s):  
Convergence Spaces ◽  
Cartesian Closedness

scholarly journals Order compatibility for Cauchy spaces and convergence spaces

1987 ◽  
Vol 10 (2) ◽  
pp. 209-216
Author(s):  
D. C. Kent ◽  
Reino Vainio
Keyword(s):  
Uniform Convergence ◽  
Weak Order ◽  
Convergence Spaces ◽  
Convergence Structure ◽  
Cauchy Structure ◽  
Cauchy Spaces

A Cauchy structure and a preorder on the same set are said to be compatible if both arise from the same quasi-uniform convergence structure onX. Howover, there are two natural ways to derive the former structures from the latter, leading to “strong” and “weak” notions of order compatibility for Cauchy spaces. These in turn lead to characterizations of strong and weak order compatibility for convergence spaces.

scholarly journals On sequentially regular convergence spaces

1967 ◽  
Vol 17 (2) ◽  
pp. 232-247
Author(s):  
Václav Koutník
Keyword(s):  
Regular Convergence ◽  
Convergence Spaces ◽  
Sequentially Regular

scholarly journals Convergence Classes of L -Filters in L , M -Fuzzy Topological Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Ting Yang ◽  
Sheng-Gang Li ◽  
William Zhu ◽  
Xiao-Fei Yang ◽  
Ahmed Mostafa Khalil
Keyword(s):  
Topological Spaces ◽  
Convergence Spaces ◽  
Topological Convergence ◽  
Convergence Structure ◽  
Fuzzy Topological Spaces ◽  
The Relationship

An L , M -fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L -filter (of crisp degree) on X to be convergent to a molecule in L X . By means of L , M -fuzzy topological neighborhood operators, we show that the category of L , M -fuzzy topological convergence spaces is isomorphic to the category of L , M -fuzzy topological spaces. Moreover, two characterizations of L -topological spaces are presented and the relationship with other convergence spaces is concretely constructed.

scholarly journals On $\frak B$-convergence spaces

1968 ◽  
Vol 18 (4) ◽  
pp. 569-588
Author(s):  
Karel Wichterle
Keyword(s):  
Convergence Spaces

scholarly journals On smallest compactification for convergence spaces

1974 ◽  
Vol 44 (1) ◽  
pp. 225-225 ◽  
Author(s):  
C. J. M. Rao
Keyword(s):  
Convergence Spaces

scholarly journals Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

2021 ◽  
Author(s):  
Bin Pang ◽  
Lin Zhang
Keyword(s):  
Function Space ◽  
Convergence Spaces ◽  
Cartesian Closedness

Abstract In this paper, we first construct the function space of ( L,M )-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category ( L,M )- QC of ( L,M )-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of ( L,M )- QC , including the category ( L,M )- KQC of ( L,M )-fuzzy Kent Q-convergence spaces, the category ( L,M )- LQC of ( L,M )-fuzzy Q-limit spaces and the category ( L,M )- PQC of ( L,M )-fuzzy pretopological Q-convergence spaces, and investigate their relationships.

Several types of enriched ( L , M )-fuzzy convergence spaces

2017 ◽  
Vol 321 ◽  
pp. 55-72 ◽  
Author(s):  
Bin Pang ◽  
Yi Zhao
Keyword(s):  
Convergence Spaces ◽  
Fuzzy Convergence

Uniform convergence spaces

2002 ◽  
pp. 59-78
Author(s):  
R. Beattie ◽  
H.-P. Butzmann
Keyword(s):  
Uniform Convergence ◽  
Convergence Spaces

scholarly journals Fuzzy Counterparts of Fischer Diagonal Condition in ⊤-Convergence Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 685
Author(s):  
Qiu Jin ◽  
Lingqiang Li ◽  
Jing Jiang
Keyword(s):  
Topological Space ◽  
Fuzzy Topology ◽  
Convergence Space ◽  
Convergence Spaces ◽  
Different Types ◽  
Diagonal Condition ◽  
Operator Convergence

Fischer diagonal condition plays an important role in convergence space since it precisely ensures a convergence space to be a topological space. Generally, Fischer diagonal condition can be represented equivalently both by Kowalsky compression operator and Gähler compression operator. ⊤-convergence spaces are fundamental fuzzy extensions of convergence spaces. Quite recently, by extending Gähler compression operator to fuzzy case, Fang and Yue proposed a fuzzy counterpart of Fischer diagonal condition, and proved that ⊤-convergence space with their Fischer diagonal condition just characterizes strong L-topology—a type of fuzzy topology. In this paper, by extending the Kowalsky compression operator, we present a fuzzy counterpart of Fischer diagonal condition, and verify that a ⊤-convergence space with our Fischer diagonal condition precisely characterizes topological generated L-topology—a type of fuzzy topology. Hence, although the crisp Fischer diagonal conditions based on the Kowalsky compression operator and the on Gähler compression operator are equivalent, their fuzzy counterparts are not equivalent since they describe different types of fuzzy topologies. This indicates that the fuzzy topology (convergence) is more complex and varied than the crisp topology (convergence).

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