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It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. An extension of the Whitney's theorem to the case when all fibers are homeomo
Externí odkaz:
http://arxiv.org/abs/0902.3387
Publikováno v:
Topology and its Applications, 155 (2008), 773-782
It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. Results of this paper extend Whitney theorem to the case when all fibers are
Externí odkaz:
http://arxiv.org/abs/0902.3312
It was proved by H. Whitney in 1933 that it is possible to mark a point in all curves in a continuous way. The main result of this paper extends the Whitney theorem to dimensions 2 and 3. Namely, we prove that it is possible to choose a point continu
Externí odkaz:
http://arxiv.org/abs/math/0208192
Autor:
Brodsky, N., Chigogidze, A.
We prove a new selection theorem for multivalued mappings of C-space. Using this theorem we prove extension dimensional version of Hurewicz theorem for a closed mapping $f\colon X\to Y$ of $k$-space $X$ onto paracompact $C$-space $Y$: if for finite $
Externí odkaz:
http://arxiv.org/abs/math/0204319
We prove extension-dimensional versions of finite dimensional selection and approximation theorems. As applications, we obtain several results on extension dimension.
Comment: 30 pages
Comment: 30 pages
Externí odkaz:
http://arxiv.org/abs/math/0106064
Autor:
Brodsky, N., Chigogidze, A.
Let $L$ be a countable CW-complex and $F\colon X\to Y$ be upper semicontinuous $UV^{[L]}$-valued mapping of a paracompact space $X$ to a complete metric space $Y$. We prove that if $X$ is a C-space of extension dimension $\ed X \le [L]$, then $F$ adm
Externí odkaz:
http://arxiv.org/abs/math/0103061
Publikováno v:
In Topology and its Applications 2008 155(8):773-782
Akademický článek
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Publikováno v:
In Cytokine 2004 28(1):10-16
Autor:
Brodsky, N, Chigogidze, A
Publikováno v:
In Topology and its Applications 2003 129(2):145-151