Zobrazeno 1 - 10
of 261
pro vyhledávání: '"54C65"'
Autor:
Chirvasitu, Alexandru
A classical branched cover is an open surjection of compact Hausdorff spaces with uniformly bounded finite fibers and analogously, a quantum branched cover is a unital $C^*$ embedding admitting a finite-index expectation. We show that whenever a comp
Externí odkaz:
http://arxiv.org/abs/2409.17807
Autor:
Gutev, Valentin
The paper contains a very simple proof of the classical Hasumi's theorem that each usco mapping defined on an extremally disconnected space has a continuous selection. The paper also contains a very simple proof of a recent result about extension of
Externí odkaz:
http://arxiv.org/abs/2409.09490
Autor:
M, Francisco Venegas
In this work we provide a generalization of the celebrated Myers-Nakai Theorem for Riemannian manifolds to the framework of non-reversible Finsler manifolds, based on the ideas used in a previous generalization for reversible Finsler manifolds proved
Externí odkaz:
http://arxiv.org/abs/2405.06788
Autor:
Gutev, Valentin
If $f$ is a continuous selection for the Vietoris hyperspace $\mathscr{F}(X)$ of the nonempty closed subsets of a space $X$, then the point $f(X)\in X$ is not as arbitrary as it might seem at first glance. In this paper, we will characterise these po
Externí odkaz:
http://arxiv.org/abs/2401.14384
Autor:
Gutev, Valentin
In 1951, Ernest Michael wrote a definitive seminal article on hyperspaces raising a general question that became known as the hyperspace selection problem. The present paper contains some aspects of this problem, along with several open questions. Mo
Externí odkaz:
http://arxiv.org/abs/2310.19085
Autor:
Belegradek, Igor, Ghomi, Mohammad
Using fiber bundle theory and conformal mappings, we continuously select a point from the interior of Jordan domains in Riemannian surfaces. This selection can be made equivariant under isometries, and take on prescribed values such as the center of
Externí odkaz:
http://arxiv.org/abs/2308.03697
Publikováno v:
Annali di Matematica Pura ed Applicata 2023
In this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguely convergent.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2303.07954
Publikováno v:
J. Math. Anal. Appl. (2022)
Some limit theorems of the type $\int_{\Omega}f_n dm_n -- --> \int_{\Omega}f dm$ are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences obtained, in the vector and multivalued settings, are in t
Externí odkaz:
http://arxiv.org/abs/2209.00354
Autor:
Gutev, Valentin
The countably paracompact normal spaces were characterised by Dowker and Kat\v{e}tov in terms of an insertion property. Dowker also characterised them by normality of their product with the closed unit interval. Michael used the Dowker-Kat\v{e}tov in
Externí odkaz:
http://arxiv.org/abs/2208.14079
Autor:
Gutev, Valentin
Publikováno v:
Comment. Math. Univ. Carolin. 63 (2022), No 3, 351-364
In this paper, we deal with a hyperspace selection problem in the setting of connected spaces. We present two solutions of this problem illustrating the difference between selections for the nonempty closed sets, and those for the at most two-point s
Externí odkaz:
http://arxiv.org/abs/2110.06979