Preprint No.
A-09-01
Gerhard Preuß
Connectedness, disconnectedness, and light factorization structures in
a fuzzy setting
Abstract:
Connectedness, disconnectedness, and light
factorization structures are studied in the realm of the topological
constructs \textbf{FPUConv} and \textbf{FSUConv} of fuzzy preuniform
convergence spaces and fuzzy semiuniform convergence spaces
respectively which have been introduced by the author in \cite{23}
using fuzzy filters in the sense of Eklund and Gähler \cite{7}. The
presented theory profits from the fact that both constructs have
hereditary quotients. Additionally, there are special features, e.g. a
product theorem for the investigated connectedness concept and the
existene of a proper class of light factorization structures on
Keywords:
Connectedness, uniform connectedness,
$\PP$-connectedness, light factorization structures for sources, fuzzy
topological spaces, fuzzy (quasi) uniform spaces, fuzzy preuniform
convergence spaces, fuzzy semiuniform convergence spaces,
bireflections, $\mathcal{E}$-reflective hulls.
Mathematics Subject Classification (MSC2000):
54A40, 54D05, 18A32, 18A40
Language: ENG
Available:
Pr-A-09-01.ps,
Pr-A-09-01.pdf
Contact: Gerhard Preuss, Freie Universität Berlin,
Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin,
Germany (preuss@math.fu-berlin.de)
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