PORTUGALIAE MATHEMATICA Vol. 53, No. 4, pp. 503-514 (1996) |
|
Local Connectedness and Connected Open FunctionsJ.J. CharatonikMathematical Institute, University of Wroc\l{}aw,pl. Grunwaldzki 2/4, 50-384 Wroc\l{}aw - POLAND E-mail: jjc@math.uni.wroc.pl and Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, Circuito Exterior, Ciudad Universitaria, 04510 Mexico, D.F. - MEXICO E-mail: jjc@gauss.matem.unam.mx Abstract: Localized versions are proved of some results concerning preservation of local connectivity and related concepts under connected open functions satisfying a condition weaker than continuity. Keywords: Connected; function; locally connected; open; quasilocally connected; weakly locally connected. Classification (MSC2000): 54C08, 54C10, 54D05 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1996 Sociedade Portuguesa de Matemática
|