Ciencias,UNAM

Browsing Matemáticas by Subject "continuum"

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Browsing Matemáticas by Subject "continuum"

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  • (1)(2)-Homogeneous continua with cut points
    Nadler, SB; Pellicer-Covarrubias, P; Puga, I (2007)
    A space is said to be _21-homogeneous provided that there are exactly two orbits for the action of the group of homeomorphisms of the space onto itself. It is shown that if X is a 1/2-homogeneous continuum with at least ...
  • Dendrites and light open mappings
    Charatonik, JJ; Charatonik, LJ; Krupski, PL (2000)
    It is shown that a metric continuum X is a dendrite if and only if for every compact space Y and for every light open mapping f : Y --> f(Y) such that X subset of f(Y) there is a copy X' of X in Y for which the restriction ...
  • The hyperspaces C(p,X) for atriodic continua
    Pellicer-Covarrubias, P (2005)
    Let C(X) denote the hyperspace of subcontinua of a continuum X. For A is an element of C(X), define the hyperspace C(A, X) = {B is an element of C(X) : A subset of B}. We prove that nondegenerate Whitney levels of C(p, X) ...
  • On 1/2-homogeneous continua
    Neumann-Lara, V; Pellicer-Covarrubias, P; Puga, I (2006)
    A continuum is 1/2-homogeneous provided there are exactly two orbits for the action of the group of homeomorphisms of the continuum onto itself. In this paper we study some relations between 1/2-homogeneous continua and ...
  • Open mappings increasing order
    Charatonik, JJ; Charatonik, WJ (1997)
    It is shown that an analog of Whyburn's theorem saying that open mappings do not increase order of a point of locally compact metric spaces is not true if the Menger-Urysohn order is replaced by order in the classical ...
  • Openness and monotoneity of induced mappings
    Charatonik, WJ (1999)
    It is shown that for locally connected continuum X if the induced mapping C(f) : C(X) --> C(Y) is open,then f is monotone. As a corollary it follows that if the continuum X is hereditarily locally connected and C(f) is ...
  • Openness of induced projections
    Charatonik, JJ; Charatonik, WJ; Illanes, A (2000)
    For continua X and Y it is shown that if the projection f : X x Y --> X has its induced mapping C(f) open, then X is C-smooth. As a corollary, a characterization of dendrites in these terms is obtained.
  • Retractions and contractibility in hyperspaces
    Charatonik, JJ; Pellicer-Covarrubias, P (2007)
    Given a metric continuum X, let 2(X) denote the hyperspace of all nonempty closed subsets of X. For each positive integer k let C-k(X) stand for the hyperspace of members of 2(X) having at most k components. Consider ...

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