Results 21 to 30 of about 68 (65)
On 3‐topological version of θ‐regularity
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 393-398, 2000., 2000 We modify the concept of θ‐regularity for spaces with 2 and 3 topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, Michael′s theorem for several variants of bitopological paracompactness is proved.
Martin M. Kovár
wiley +1 more source
Open Mathematics, 2018 A space (X, τ) is called epi-mildly normal if there exists a coarser topology τ′ on X such that (X, τ′) is Hausdorff (T2) mildly normal. We investigate this property and present some examples to illustrate the relationships between epi-mild normality and
Kalantan Lutfi, Alshammari Ibtesam
doaj +1 more source
Semilocal connectedness of product spaces and s‐continuity of maps
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 4, Page 257-264, 2000., 2000 We consider the problem of the transfer of semilocal connectedness from factors to the product space and vice versa. Some sufficient conditions are given under which the product of semilocally connected spaces is semilocally connected. Obtained theorems are not invertible, suitable examples are given.
Janina Ewert
wiley +1 more source
A note on Raghavan‐Reilly′s pairwise paracompactness
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 139-143, 2000., 2000 The bitopological unstability of RR‐pairwise paracompactness in presence of pairwise Hausdorff separation axiom is caused by a bitopological property which is much weaker and more local than RR‐pairwise paracompactness. We slightly generalize some Michael′s constructions and characterize RR‐pairwise paracompactness in terms of bitopological θ ...
Martin M. Kovár
wiley +1 more source
p‐topological and p‐regular: dual notions in convergence theory
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 1-12, 1999., 1999 The natural duality between “topological” and “regular,” both considered as convergence space properties, extends naturally to p‐regular convergence spaces, resulting in the new concept of a p‐topological convergence space. Taking advantage of this duality, the behavior of p‐topological and p‐regular convergence spaces is explored, with particular ...
Scott A. Wilde, D. C. Kent
wiley +1 more source
Semi-Hurewicz-Type properties in ditopological texture spaces
Open Mathematics, 2018 In this paper we will define and discuss semi-Hurewicz type covering properties in ditopological texture spaces. We consider the behaviour of semi-Hurewicz and co-semi-Hurewicz selection properties under direlation and difunction between ditopological ...
Ullah Hafiz, Khan Moiz ud Din
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce the concept of mc‐vertices in simple graphs and use monophonic paths to define a new class of vertex topologies, called monophonic c‐topologies. We investigate fundamental properties of these spaces, including openness‐minimizing behavior, compactness, and various forms of connectedness, and we characterize graphs that ...
Faten H. Damag +5 more
wiley +1 more source
Application on local discrete expansion
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 747-750, 1996., 1995 The process of changing a topology by some types of its local discrete expansion preserves s‐closeness, S‐closeness, semi‐compactness, semi‐Ti, semi‐Ri, i ∈ {0, 1, 2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms the original topology does not have.
M. E. Abd El-Monsef +2 more
wiley +1 more source
Open Mathematics, 2016 A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well
Xiao Qimei, Liu Wenjun
doaj +1 more source
Generalized m-Closed Sets in Biminimal Structure Spaces [PDF]
, 2011 In this paper, we introduce the concept of generalized gm-closed sets in biminimal structure spaces. We obtain some properties of generalized m-closed sets. Applying generalized m-closed set, we investigate the notion of m (i,j) -T 1 2 space.
Chokchai Viriyapong +3 more
core