A. Chigogidze

activity

19992015

most citedExtension dimension and C-spaces

11 citations · 31 across the 34 of their papers we have counts for

collaborators

35 papers

math.GN2015

Factorization of Bijections onto Ordered Spaces

Raushan Buzyakova, Alex Chigogidze

We identify a class of subspaces of ordered spaces $L$ for which the following statement holds: If $f : X \to L \in L$ is a continuous bijections of a zero-dimensiona…

math.GN2012

Extension properties of Stone-Čech coronas and proper absolute extensors

A. Chigogidze

We characterize, in terms of $X$ , extensional dimension of the Stone-Čech corona $β X ∖ X$ of locally compact and Lindelöf space $X$ . The non-Lindelöf case case is also sett…

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…

math.GN2011

Z-set unknotting in uncountable products of reals

Alex Chigogidze

We prove a version of $Z$ -set unknotting theorem for uncountable products of real numbers.

math.OA2011

There are no noncommutative soft maps

Alex Chigogidze

It is shown that for a map $f : X \to Y$ of compact spaces the unital $*$ -homomorphism $C (f) : C (Y) \to C (X)$ is projective in the category $\operatorname{Mor}({\mathc…

math.GN2010

Fixed-point free maps of Euclidean spaces

R. Z. Bouziakova, A. Chigogidze

Our main result states that every fixed-point free continuous self-map of $R^{n}$ is colorable. This result can be re-formulated as follows: A continuous map $f: {\mathbb…