The main purpose of this paper is to prove that the class of near locally connected continua contains no non-metrizable continuum X which admits a Whitney map for C(X). In particular, each near locally connected continuum X which admits a Whitney map for C(X) is metrizable.
机构:
Univ Nacl Autonoma Mexico, Inst Matemat, Area Invest Cient, Mexico City 04510, DF, MexicoUniv Nacl Autonoma Mexico, Inst Matemat, Area Invest Cient, Mexico City 04510, DF, Mexico
机构:
Sveucilista Zagrebu, Fak Organizacije & Informat, Pavlinska 2, Varazdin 42000, RussiaSveucilista Zagrebu, Fak Organizacije & Informat, Pavlinska 2, Varazdin 42000, Russia
Loncar, Ivan
RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI,
2005,
15
(491):
: 195
-
206