Arc Approximation Property and Confluence of Induced Mappings

  • WLODZIMIERZ J. CHARATONIK
  • Published 2003

Abstract

We say that a continuum X has the arc approximation property if every sub continuum K of X is the limit of a sequence of arcwise connected subcontinua of X all containing a fixed point of K. This property is applied to exhibit a class of continua Y such that confluence of a mapping J : X -+ Y implies confluence of the induced mappings 21 : 2x -+ 2Y and C(j… (More)

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