Zobrazeno 1 - 10
of 93
pro vyhledávání: '"BUZYAKOVA, RAUSHAN"'
Autor:
Buzyakova, Raushan
We study spaces $X$ for which the space $Hom_p(X)$ of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces $X$ for which $Hom_p(X)$ is or is not a topological group.
Externí odkaz:
http://arxiv.org/abs/2406.14771
Autor:
Buzyakova, Raushan
We study groups of homeomorphic bijections on spaces that are finite unions of compact connected linearly ordered subsets. We prove that all such groups when endowed with the topology of point-wise convergence are topological groups. }
Externí odkaz:
http://arxiv.org/abs/2312.16398
Autor:
Buzyakova, Raushan
We study topological groups of monotonic autohomeomorphisms on a generalized ordered space $L$. We find a condition that is necessary and sufficient for the set of all monotonic autohomeomorphisms on $L$ along with the function composition and the to
Externí odkaz:
http://arxiv.org/abs/2212.09236
Autor:
Buzyakova, Raushan
We show that if $C_p(X\times Z)$ is homeomorphic to $C_p(Y\times Z)$, where $Z$ is compact, and $X$ and $Y$ are of countable netweight, then $C_p(X\times M)$ is homeomorphic to $C_p(Y\times M)$ for some metric compactum $M$.
Externí odkaz:
http://arxiv.org/abs/2112.12246
Autor:
Buzyakova, Raushan
We are concerned with the question of when a homeomorphism between $C_p(X\times \tau)$ and $C_p(Y\times \tau)$ implies the existence of a homeomorphism between $C_p(X\times \tau')$ and $C_p(Y\times \tau')$, where $\tau$ and $\tau'$ are spaces of ordi
Externí odkaz:
http://arxiv.org/abs/2012.13800
Autor:
Buzyakova, Raushan
Publikováno v:
Applied General Topology, v 22, no 1, pp 1--10, 2021
Given an autohomeomorphism on an ordered topological space or its subspace, we show that it is sometimes possible to introduce a new topology-compatible order on that space so that the same map is monotonic with respect to the new ordering. We note t
Externí odkaz:
http://arxiv.org/abs/1909.00287
Autor:
BUZYAKOVA, RAUSHAN1 raushan_buzyakova@yahoo.com
Publikováno v:
Applied General Topology. 2024, Vol. 25 Issue 1, p229-235. 7p.
Autor:
Buzyakova, Raushan, Okunev, Oleg
We study point-separating function sets that are minimal with respect to the property of being separating. We first show that for a compact space $X$ having a minimal separating function set in $C_p(X)$ is equivalent to having a minimal separating co
Externí odkaz:
http://arxiv.org/abs/1809.05186
Autor:
Buzyakova, Raushan
We identify a class of linearly ordered topological spaces $X$ that may satisfy the property that $X\times X$ is homeomorphic to $X\times_l X$ or can be embedded into a linearly ordered space with the stated property. We justify the conjectures by pa
Externí odkaz:
http://arxiv.org/abs/1801.01873
Autor:
Buzyakova, Raushan, Okunev, Oleg
We study separating function sets. We find some necessary and sufficient conditions for $C_p(X)$ or $C_p^2(X)$ to have a point-separating subspace that is a metric space with certain nice properties. One of the corollaries to our discussion is that f
Externí odkaz:
http://arxiv.org/abs/1708.07927