Browsing Matemáticas by Subject "induced mapping"

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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.

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