Results 31 to 40 of about 173 (123)

Pre-Open Sets In Minimal Bitopological Spaces

Journal of Kufa for Mathematics and Computer, 2015
Let be a topological space, let be an M-structure on then is called a minimal bitopological space. In this work, I am study pre-open sets in minimal bitopological spaces with some result and definitions separation axioms on minimal bitopological ...
Ameer Mohammad-Husain Hassan
doaj   +1 more source

On Tri‐α‐Open Sets in Fuzzifying Tritopological Spaces

Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019
In this paper, we introduced and studied (1,2,3)‐α‐open set, (1,2,3)‐α‐neighborhood system, (1,2,3)‐α‐derived, (1,2,3)‐α‐closure, (1,2,3)‐α‐interior, (1,2,3)‐α‐exterior, (1,2,3)‐α‐boundary, (1,2,3)‐α‐convergence of nets, and (1,2,3)‐α‐convergence of filters in fuzzifying tritopological spaces.
Barah M. Sulaiman, Tahir H. Ismail, Patricia Melin   +2 more
wiley   +1 more source

New Generalizations of Pairwise Lindelöf Spaces

مجلة بغداد للعلوم
This study is introducing two new different pairwise related to Lindelöf bitopological spaces. Lindelöf spaces are among of the most important topological spaces with important applications in various branches of mathematics.
Hana M. Binshahnah, A. K. Mousa
doaj   +1 more source

A New Approach to Hausdorff Space Theory via the Soft Sets

Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016
The aim of this paper is to present the concept of soft bitopological Hausdorff space (SBT Hausdorff space) as an original study. Firstly, I introduce some new concepts in soft bitopological space such as SBT point, SBT continuous function, and SBT homeomorphism. Secondly, I define SBT Hausdorff space.
Güzide Şenel, Anna M. Gil-Lafuente
wiley   +1 more source

A Hofmann–Mislove theorem for bitopological spaces

The Journal of Logic and Algebraic Programming, 2007
A `frame' is a complete lattice in which finite meets distribute over arbitrary joins. A frame homomorphism preserves finite meets and arbitrary joins leading to the category Frm. There is a dual adjunction between Top and Frm. With the duality between topological spaces and frames the authors have presented a Stone duality for bitopological spaces. In
Achim Jung, M. Andrew Moshier
openaire   +3 more sources

Intuitionistic Smooth Bitopological Spaces and Continuity [PDF]

International Journal of Fuzzy Logic and Intelligent Systems, 2014
In this paper, we introduce intuitionistic smooth bitopological spaces and the notions of intuitionistic fuzzy semiinterior and semiclosure. Based on these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous mappings are obtained.
Jin Tae Kim, Seok Jong Lee
openaire   +1 more source

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

An in-depth exploration of intuitionistic fuzzy T₀ in the context of bitopology [PDF]

Notes on IFS
Intuitionistic fuzzy topological space and bitopological space have been introduced by using the concepts of intuitionistic fuzzy sets which are the generalizations of interval valued fuzzy sets.
Saikh Shahjahan Miah, Ranapati Ronjon, Nigar Sultana   +2 more
doaj   +1 more source

Some Types of Lindelof in Bitopological Spaces [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2012
In this paper, we define another types of Lindelof on bitopological space, namely N-Lindelof , S-Lindelof and pair-wise Lindelof spaces, and we introduce some properties about these types.
Fawzi Noori Nassar
doaj   +1 more source

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