Add to ORKGsummary:Let $X$ be a finite graph. Let $C(X)$ be the hyperspace of all nonempty subcontinua of $X$ and let $\mu :C(X)\rightarrow \Bbb R$ be a Whitney map. We prove that there exist numbers $0<T_0<T_1<T_2<\dots <T_M=\mu (X)$ such that if $T\in (T_{i-1},T_i)$, then the Whitney block $\mu ^{-1} (T_{i-1},T_i)$ is homeomorphic to the product $\mu ^{-1}(T)\times (T_{i-1},T_i)$. We also show that there exists only a finite number of topologically different Whitney levels for $C(X)$
AbstractGeneral theorems concerning s-connectedness and hyperspaces are first obtained. These result...
AbstractFor a Whitney preserving map f:X→G we show the following: (a) If X is arcwise connected and ...
Let X be a metric continuum. Let C2(X) be the hyperspace of X consisting of all the nonempty and wit...
summary:Let $X$ be a finite graph. Let $C(X)$ be the hyperspace of all nonempty subcontinua of $X$ a...
AbstractLet G be a finite connected graph and C(G) the hyperspace of all subcontinua of G. A Whitney...
AbstractLet G be a finite connected graph and C(G) the hyperspace of all subcontinua of G. A Whitney...
AbstractFor a Whitney preserving map f:X→G we show the following: (a) If X is arcwise connected and ...
In [15] Whitney proved that for any continuum X there exists a map ~ from C(X), the hyperspace of su...
In [15] Whitney proved that for any continuum X there exists a map ~ from C(X), the hyperspace of su...
AbstractLet X be a continuum and let C(X) be the space of subcontinua of X. In this paper we conside...
AbstractLet X be a continuum. Let C(X) be the hyperspace of subcontinua of X. We say that X is said ...
If (X, d) is a metric continuum, C(X) stands for the hyperspace of all nonempty subcontinua of X, en...
AbstractThe notion of being a Whitney preserving map is introduced. Conditions are given on a space ...
summary:For metrizable continua, there exists the well-known notion of a Whitney map. If $X$ is a no...
AbstractLet X be a metric continua. Let Cn(X) be the hyperspace of nonempty closed subsets of X with...
AbstractGeneral theorems concerning s-connectedness and hyperspaces are first obtained. These result...
AbstractFor a Whitney preserving map f:X→G we show the following: (a) If X is arcwise connected and ...
Let X be a metric continuum. Let C2(X) be the hyperspace of X consisting of all the nonempty and wit...
summary:Let $X$ be a finite graph. Let $C(X)$ be the hyperspace of all nonempty subcontinua of $X$ a...
AbstractLet G be a finite connected graph and C(G) the hyperspace of all subcontinua of G. A Whitney...
AbstractLet G be a finite connected graph and C(G) the hyperspace of all subcontinua of G. A Whitney...
AbstractFor a Whitney preserving map f:X→G we show the following: (a) If X is arcwise connected and ...
In [15] Whitney proved that for any continuum X there exists a map ~ from C(X), the hyperspace of su...
In [15] Whitney proved that for any continuum X there exists a map ~ from C(X), the hyperspace of su...
AbstractLet X be a continuum and let C(X) be the space of subcontinua of X. In this paper we conside...
AbstractLet X be a continuum. Let C(X) be the hyperspace of subcontinua of X. We say that X is said ...
If (X, d) is a metric continuum, C(X) stands for the hyperspace of all nonempty subcontinua of X, en...
AbstractThe notion of being a Whitney preserving map is introduced. Conditions are given on a space ...
summary:For metrizable continua, there exists the well-known notion of a Whitney map. If $X$ is a no...
AbstractLet X be a metric continua. Let Cn(X) be the hyperspace of nonempty closed subsets of X with...
AbstractGeneral theorems concerning s-connectedness and hyperspaces are first obtained. These result...
AbstractFor a Whitney preserving map f:X→G we show the following: (a) If X is arcwise connected and ...
Let X be a metric continuum. Let C2(X) be the hyperspace of X consisting of all the nonempty and wit...