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Browsing by Subject "induced mapping"

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Browsing by Subject "induced mapping"

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  • Arc approximation property and confluence of induced mappings
    Charatonik, WJ (1998)
    We say that a continuum X has the are approximation property if every subcontinuum 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 ...
  • Limit properties of induced mappings
    Charatonik, JJ; Charatonik, WJ (2000)
    Given a class M of mappings f between continua, near-M stands for the class of uniform limits of sequences of mappings from M. Let 2(f) and C(f) mean the induced mappings between hyperspaces. Relations are studied between ...
  • 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 mappings
    Charatonik, JJ; Charatonik, WJ; Illanes, A (1999)
    Openness of induced mappings between hyperspaces of continua is studied. In particular we investigate continua X such that if for a mapping f:X --> Y the induced mapping C(f):C(X) --> C(Y) is open, then f is a homeomorphism. ...
  • 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.