Zobrazeno 1 - 10
of 39
pro vyhledávání: '"P. S. Kenderov"'
Publikováno v:
Mathematics and Informatics. :36-51
The characteristic features of the online competition “VIVA Mathematics with Computer”, organized by the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences, the Union of Mathematicians in Bulgaria and the telecommunicat
Publikováno v:
Topology and its Applications. 281:107214
The object of the paper are the regular topological spaces X in which there exists a metric d related to the topology in the following way: for every nonempty open subset U of X and for every e > 0 there exists a nonempty open subset V of U with d-di
Autor:
P. S. Kenderov
Publikováno v:
Invited Lectures from the 13th International Congress on Mathematical Education ISBN: 9783319721699
Many problems related to the real world admit a mathematical description (i.e., a mathematical model) based on what is studied at school. Solving the mathematical model, however, often requires a higher level of mathematics, and this is the reason fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::015efaae1877b01bbde48b2d78f032b0
https://doi.org/10.1007/978-3-319-72170-5_17
https://doi.org/10.1007/978-3-319-72170-5_17
Publikováno v:
Topology and its Applications. 169:108-119
For a pseudocompact (strongly pseudocompact) space T we show that every strongly bounded (bounded) subset A of the space C ( T ) of all continuous functions on T has compact closure with respect to the pointwise convergence topology. This generalizat
Publikováno v:
Topology and its Applications. 159:3550-3562
Let f be a bounded from below lower semicontinuous function defined in a completely regular topological space X. We show that there exists a continuous and bounded function g, defined in the same space, such that the perturbed function f + g attains
Autor:
P. S. Kenderov, Warren B. Moors
Publikováno v:
Topology and its Applications. 159:183-193
Let (X,τ) be a topological space and let ρ be a metric defined on X. We shall say that (X,τ) is fragmented by ρ if whenever ε>0 and A is a nonempty subset of X there is a τ-open set U such that U∩A≠∅ and ρ−diam(U∩A)
Autor:
P. S. Kenderov, Julian P. Revalski
Publikováno v:
TOP. 20:467-474
We study generic variational principles in optimization when the underlying topological space X is not necessarily metrizable. It turns out that, to ensure the validity of such a principle, instead of having a complete metric which generates the topo
Publikováno v:
Topology and its Applications. 157(16):2542-2552
We consider a topological game G Π involving two players α and β and show that, for a paratopological group, the absence of a winning strategy for player β implies the group is a topological one. We provide a large class of topological spaces X f
Publikováno v:
Topology and its Applications. 153(14):2745-2759
Let T be the class of Banach spaces E for which every weakly continuous mapping from an α -favorable space to E is norm continuous at the points of a dense subset. We show that: • T contains all weakly Lindelof Banach spaces; • l ∞ ∉ T , whi
Autor:
Warren B. Moors, P. S. Kenderov
Publikováno v:
Journal of the Australian Mathematical Society. 77:357-364
A Banach space (X, ∥ · ∥) is said to be a dual differentiation space if every continuous convex function defined on a non-empty open convex subset A of X* that possesses weak* continuous subgradients at the points of a residual subset of A is Fr