Products and projective limits of continuous valuations on T0 spaces

Mathematical Structures in Computer Science ◽

10.1017/s0960129521000141 ◽

2021 ◽

pp. 1-21

Author(s):

Jean Goubault-Larrecq

Keyword(s):

Topological Spaces ◽

Projective Limits

Abstract We show analogues of the Daniell–Kolmogorov and Prohorov theorems on the existence of projective limits of measures, in the setting of continuous valuations on T0 topological spaces.

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Profinite posets

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700044415 ◽

1972 ◽

Vol 6 (2) ◽

pp. 177-183 ◽

Cited By ~ 9

Author(s):

T.P. Speed

Keyword(s):

Partially Ordered Sets ◽

Distributive Lattices ◽

Topological Spaces ◽

Ordered Sets ◽

Partially Ordered ◽

Projective Limits

The class of ordered topological spaces which are projective limits of finite partially ordered sets (equipped with the restriction of the product of the discrete topologies) is shown to coincide with the class of compact totally order-disconnected ordered topological spaces. Hence this is another category of spaces equivalent to the category of distributive lattices with zero and unit.

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A New Approach On gr*-Closed Sets in Ideal Topological Spaces

Asian Journal of Current Engineering and Maths ◽

10.15520/ajcem.2014.vol3.iss5.9.pp59-62. ◽

2014 ◽

Vol 3 (5) ◽

Keyword(s):

Topological Spaces ◽

New Approach ◽

Closed Sets

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Covering dimension and ideal topological spaces

Quaestiones Mathematicae ◽

10.2989/16073606.2020.1851309 ◽

2020 ◽

pp. 1-16

Author(s):

A.C. Megaritis

Keyword(s):

Topological Spaces ◽

Covering Dimension

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Corrigendum to "Separation axioms on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 11 (4) (2016) 511- 525"

ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ◽

10.30948/afmi.2018.15.3.309 ◽

2018 ◽

Vol 15 (3) ◽

pp. 309-312 ◽

Cited By ~ 4

Author(s):

T. M. Al-shami

Keyword(s):

Fuzzy Mathematics ◽

Topological Spaces ◽

Separation Axioms

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To the Question on Some Generalizations of Properties of the Linkedness of Families of Sets and the Supercompactness of Topological Spaces

Russian Mathematics ◽

10.3103/s1066369x20110055 ◽

2020 ◽

Vol 64 (11) ◽

pp. 58-72

Author(s):

A. G. Chentsov

Keyword(s):

Topological Spaces

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ON ir-CLOSED SETS IN TOPOLOGICAL SPACES

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.5.20 ◽

2020 ◽

Vol 9 (5) ◽

pp. 2573-2582

Author(s):

A. M. Anto ◽

G. S. Rekha ◽

M. Mallayya

Keyword(s):

Topological Spaces ◽

Closed Sets

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ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.11.41 ◽

2020 ◽

Vol 9 (11) ◽

pp. 9353-9360

Author(s):

G. Selvi ◽

I. Rajasekaran

Keyword(s):

Topological Spaces ◽

Closed Set ◽

Basic Properties ◽

Closed Sets ◽

New Class ◽

Open Set ◽

Continuous Maps

This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\star \star}_\mu$-closed set, $sg^{\star \star}_\mu$-open set, $g^{\star \star}_\mu$-closed set, $g^{\star \star}_\mu$-open set and studied some of its basic properties included with $sg^{\star \star}_\mu$-continuous maps, $sg^{\star \star}_\mu$-irresolute maps and $T_\frac{1}{2}$-space in strong generalized topological spaces.

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