Skip to main content
Article thumbnail
Location of Repository

Shape morphisms and small multivalued maps

By José Manuel Rodríguez Sanjurjo


An upper semicontinuous multivalued map F:X→Y is said to be ε -small if the diameter of F(x) is less than ε for each x∈X . F and G are ε -homotopic if there is an ε -small homotopy H:X×I→Y joining F and G . F:X×[0,∞)→Y is a fine multivalued map if for each ε>0 there is m≥0 such that F|X×[m,∞) is ε -small. Fine multivalued maps F,G:X×[0,∞)→Y are homotopic provided for each ε>0 there is m≥0 such that F|X×[m,∞) is ε -homotopic to G|X×[0,∞) . The main result of the paper is to show a bijective correspondence between shape morphisms from X to Y , X and Y being compact metrizable, and homotopy classes of fine multivalued maps from X×[0,∞) to Y . \u

Topics: Topología
Publisher: Japanese Association of Mathematical Sciences
Year: 1990
OAI identifier:
Provided by: EPrints Complutense
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.