R. Buzyakova

activity

20122025

most citedThree Questions on Special Homeomorphisms on Subgroups of

R

and

R^{\infty}

1 citations · 2 across the 13 of their papers we have counts for

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Showing 2012Show all

5 papers · 1 filter

math.GN2012★ 1 cited

Stationary Sets in Topological and Paratopological Groups

Raushan Buzyakova, Cetin Vural

We show that if a topological or paratopological group $G$ contains a stationary subset of some regular uncountable cardinal, then $G$ contains a subspace which is not collectionwi…

math.GN2012

On Hereditarily Normal Topological Groups

Raushan Buzyakova

In this paper we investigate hereditarily normal topological groups and their subspaces. We prove that every compact subspace of a hereditarily normal topological group is metrizab…

math.GN2012

Injections into Function Spaces over Compacta

Raushan Z. Buzyakova

We study the topology of X given that Cp(X) injects into Cp(Y), where Y is compact. We first show that if Cp over a GO-space (="subspace of a lineraly ordered space") injects into…

math.GN2012

On multivaled fixed-point free maps on R^n

Raushan Buzyakova

To formulate our results let $f$ be a continuous map from $R^{n}$ to $2^{R^{n}}$ and $k$ a natural number such that $∣ f (x) ∣ \leq k$ for all $x$ . We prove that $f$ is fix…

math.GN2012

Periodic and fixed points of multivalued maps on Euclidean spaces

R. Z. Buzyakova, A. Chigogidze

We show, in particular, that a multivalued map $f$ from a closed subspace $X$ of $R^{n}$ to $exp_{k} (R^{n})$ has a point of period exactly $M$ if and only if its co…