Results 61 to 70 of about 529 (158)

Projective bitopological spaces II. [PDF]

Journal of the Australian Mathematical Society, 1972
Gleason [3] proved that in the category G of compact Hausdorff spaces and continuous maps, the projective objects are precisely the extremally disconnected spaces contained in the category. Strauss [7] generalised this and proved that in the category G of regular Hausdorif spaces and perfect maps the projective objects are again precisely the ...
openaire   +2 more sources

On Quasimetrizability of Quasicone Metric Spaces

Chinese Journal of Mathematics, Volume 2015, Issue 1, 2015., 2015
The aim of this work is to extend interesting results on the metrizability of cone metric spaces as it appears in the literature. In this paper we appeal to quasiuniformities and uniformities to prove that a quasicone metric space is qausimetrizable, and from our results we will deduce that every cone metric space is metrizable; our approach is more on
M. Aphane, S. P. Moshokoa, Salvatore A. Marano   +2 more
wiley   +1 more source

bitopological spaces, u-ω-open sets, almost continuous function.

, 2022
In this paper, as a generalization of u-ω-continuous functions, we introduce the notion of almost ω-continuous functions in bitopological spaces and obtain several characterizations and some of its properties.Estadística Aplicada y ...
Rosas, Ennis, Carpintero, Carlos, Rajesh, Neelamegarajan, Rajalakshmi, Ramasamy   +3 more
core  

Some Properties of (1,  2)*‐Locally Closed Sets

International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014
A new kind of generalization of (1, 2)*‐closed set, namely, (1, 2)*‐locally closed set, is introduced and using (1, 2)*‐locally closed sets we study the concept of (1, 2)*‐LC‐continuity in bitopological space. Also we study (1, 2)*‐contracontinuity and lastly investigate its relationship with (1, 2)*‐LC‐continuity.
Baby Bhattacharya, Arnab Paul, Sudip Debnath, Rodica D. Costin   +3 more
wiley   +1 more source

On T0 fuzzy Bitopological spaces

Journal of Bangladesh Academy of Sciences, 2014
In this paper, the authors introduced two notions of fuzzy pairwise-T0 bitopological spaces and compared them with other such concepts. The authors also studied some other properties of these spaces. DOI: http://dx.doi.org/10.3329/jbas.v38i2.21345 Journal of Bangladesh Academy of Sciences, Vol. 38, No.
Amin, M. R., Ali, D. M., Hossain, M. S.
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Fuzzy Homogeneous Bitopological Spaces

, 2018
We continue the study of the concepts of minimality and homogeneity in the fuzzy context. Concretely, we introduce two new notions of minimality in fuzzy bitopological spaces which are called minimal fuzzy open set and pairwise minimal fuzzy open set ...
Azaizeh, Almothana, Al Ghour, Samer, Ghour, Samer Al   +2 more
core   +1 more source

$ KC $-bitopological spaces

AIMS Mathematics
<p>A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces".
Hamza Qoqazeh, Ali Atoom, Maryam Alholi, Eman ALmuhur, Eman Hussein, Anas Owledat, Abeer Al-Nana   +6 more
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On ℳ𝒜(i,j)‐Continuous Functions in Biminimal Structure Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2013, Issue 1, 2013., 2013
We introduce the notion of ℳ𝒜(i,j)‐continuous functions and some other forms of continuity in biminimal structure spaces. Some new characterizations and several fundamental properties of ℳ𝒜(i,j)‐continuous functions are obtained.
Chawalit Boonpok, Chokchai Viriyapong, Montri Thongmoon, Nongluk Viriyapong, Luc Vrancken   +4 more
wiley   +1 more source

Neutrosophic Crisp Bi-Topological Spaces [PDF]

Neutrosophic Sets and Systems, 2018
In this paper, neutrosophic crisp bi-topological spaces, new types of open and closed sets in neutrosophic crisp bitopological spaces, the closure and interior neutrosophic crisp set and a new concept of open and closed sets are introduced.
Riad Khidr Al-Hamido
doaj   +1 more source

Lattice‐Valued Topological Systems as a Framework for Lattice‐Valued Formal Concept Analysis

Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013
Recently, Denniston, Melton, and Rodabaugh presented a new categorical outlook on a certain lattice‐valued extension of Formal Concept Analysis (FCA) of Ganter and Wille; their outlook was based on the notion of lattice‐valued interchange system and a category of Galois connections. This paper extends the approach of Denniston et al.
Sergey A. Solovyov, Alfred Peris
wiley   +1 more source