Zobrazeno 1 - 10
of 62
pro vyhledávání: '"S.D. Iliadis"'
Autor:
S.D. Iliadis, Yu. V. Sadovnichy
Publikováno v:
Applied General Topology, Vol 22, Iss 1, Pp 149-167 (2021)
Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been studied under the prism of this u
Externí odkaz:
https://doaj.org/article/ac20ca43e2ce442da369ee7955365858
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
Autor:
D.N. Georgiou, S.D. Iliadis
Publikováno v:
Applied General Topology, Vol 6, Iss 2, Pp 143-148 (2005)
In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all con
Externí odkaz:
https://doaj.org/article/a846a893efc441c4af038e4c7d1fa52b
Autor:
S.D. Iliadis
Publikováno v:
Applied General Topology, Vol 4, Iss 2, Pp 487-507 (2003)
Subjects of this paper are: (a) containing spaces constructed in [2] for an indexed collection S of subsets, (b) classes consisting of ordered pairs (Q,X), where Q is a subset of a space X, which are called classes of subsets, and (c) the notion of u
Externí odkaz:
https://doaj.org/article/ee0c0b6018b4410d873d30f9b4a36f12
Publikováno v:
Applied General Topology, Vol 4, Iss 2, Pp 467-474 (2003)
In some results concerning S-splitting, S-jointly continuous, D-splitting and D-jointly continuous topologies are considered, where S and D are the Sierpinski space and the double-point space, respectively. Here we generalize these results replacing
Externí odkaz:
https://doaj.org/article/d1f0e7d9ae1049ec96160311761083f2
Autor:
S.D. Iliadis, Yu.V. Sadovnichy
Publikováno v:
Topology and its Applications. 329:108382
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2e18dced1b885d0bcc76d93f055d991
https://doi.org/10.1016/j.topol.2022.108382
https://doi.org/10.1016/j.topol.2022.108382
Publikováno v:
Topology and its Applications. 329:108359
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea2c701dfd28aac4f14b16f3d7f8e55a
https://doi.org/10.1016/j.topol.2022.108359
https://doi.org/10.1016/j.topol.2022.108359
Autor:
S.D. Iliadis, Yu.V. Sadovnichy
Publikováno v:
Filomat. 35:4087-4094
In 1986 V.V. Uspenskij proved that there exists a universal topological group with a countable base and in 1990 put the problem: does there exist a universal topological group of weight an uncountable cardinal ?? This problem is still open. In 2015 w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0aaaa3abb230f449aace499b59a1d408
https://doi.org/10.2298/fil2112087i
https://doi.org/10.2298/fil2112087i
Publikováno v:
Topology and its Applications. 275:106993
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::613dc0b4011120fab7aa7a406ff0d4b1
https://doi.org/10.1016/j.topol.2019.106993
https://doi.org/10.1016/j.topol.2019.106993
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