Zobrazeno 1 - 10
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pro vyhledávání: '"A.C. Megaritis"'
Autor:
A.C. Megaritis
Publikováno v:
Applied General Topology, Vol 19, Iss 2, Pp 253-260 (2018)
In [1], A. A. Borubaev introduced the concept of τ-metric space, where τ is an arbitrary cardinal number. The class of τ-metric spaces as τ runs through the cardinal numbers contains all ordinary metric spaces (for τ = 1) and thus these spaces a
Externí odkaz:
https://doaj.org/article/3fab5d4a0b8f47fa84e94684bb312a83
Publikováno v:
Order. 39:187-208
Studies such as Dube et al. (Topology Appl. 160(18):2454–2464 2013), Georgiou et al. (Algebra Universalis 80(2):16, 2019), Iliadis (2005; Topology Appl. 179, 99–110, 2015; Topology Appl. 201, 92–109, 2016) focus on the notion of saturated class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19fb5dc82cd07e08bbd89cd650f27e8c
https://doi.org/10.1007/s11083-021-09561-8
https://doi.org/10.1007/s11083-021-09561-8
Publikováno v:
Mathematica Slovaca. 71:409-422
In this paper, we do further investigations on the statistical inner and outer limits of sequences of closed sets in metric spaces, which were introduced by Nuray, Rhoades, and Talo, Sever, Başar, and generalize the conventional Painleve-Kuratowski
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::786c735642b686ebbf9925695856a99b
https://doi.org/10.1515/ms-2017-0477
https://doi.org/10.1515/ms-2017-0477
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 21, Iss 3, Pp 311-317 (2013)
Alexandroff spaces have all the properties of finite spaces and therefore play an important role in digital topology, image analysis, and computer graphics. In this paper we study dimensions of the type dim for the class of all Alexandroff countable
Externí odkaz:
https://doaj.org/article/595f489a804b4236b903c40426fa3b55
Autor:
A.C. Megaritis
Publikováno v:
Applied General Topology, Vol 13, Iss 1, Pp 91-102 (2012)
In a relative covering dimension is defined and studied which is denoted by r-dim. In this paper we give an algorithm of polynomial order for computing the dimension r-dim of a pair (Q,X), where Q is a subset of a finite space X, using matrix algebra
Externí odkaz:
https://doaj.org/article/57dfcf82528940b2b1308f77ea3b66d9
Publikováno v:
Applied General Topology, Vol 12, Iss 2, Pp 193-211 (2011)
In the paper two dimensions, denoted by dm and Dm, are defined in the class of all Hausdorff spaces. The dimension Dm does not have the universality property in the class of separable metrizable spaces because the family of all such spaces X with Dm(
Externí odkaz:
https://doaj.org/article/87e77523e84847aca687830ff27e6813
Publikováno v:
Order. 37:427-444
The universality property plays an important role in the field of frames and the notion of saturated class of frames is combined with this property (see Dube et al. (Topology and its Applications 160, 2454–2464, 2013); Iliadis (Topology and its App
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c08778457dfeb8fdf0ab84bd4e43d25
https://doi.org/10.1007/s11083-019-09513-3
https://doi.org/10.1007/s11083-019-09513-3
Publikováno v:
Topology and its Applications. 241:38-49
Let X be a non-empty set. We introduce semi-convergence classes on X in order to obtain a modification of classical Kelley's theorem. Subsequently, we do some further investigations on ideal convergence classes (see [7] ). Finally, we introduce ideal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5af23d4a4221e975ecb6923c14b56c91
https://doi.org/10.1016/j.topol.2018.03.029
https://doi.org/10.1016/j.topol.2018.03.029
Publikováno v:
Filomat. 32:6327-6337
The notion of Alexandroff space was firstly appeared in [1]. Different types of the covering dimension in the set of all Alexandroff countable spaces have been studied (see [5]). Inspired by [9], where a new topological dimension, called quasi coveri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02ac9c8aaa80e243dc8a57ab69fa7672
https://doi.org/10.2298/fil1818327g
https://doi.org/10.2298/fil1818327g
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