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Constructive approximation of level continuous fuzzy functions 1
(IOS, 2019-06)
We consider the space of continuous functions defined between a locally compact Hausdorff space and the space of fuzzy numbers endowed with the level convergence topology. We obtain a Stone-Weierstrass type theorem for ...
Quasi-Uniformities and Quotients of Paratopological Groups
(Faculty of Sciences and Mathematics, University of Nis, Serbia, 2017)
For a subgroup
H
of a paratopological group
G
we prove that the quotient topology of the coset
space
G
/
H
is induced by a rotund quasi-uniformity and the quotient topology of the semiregularization
(
G
/
H
...
Chaos in hyperspaces of nonautonomous discrete systems
(Elsevier, 2017)
We study the interaction of some dynamical properties of a nonautonomous discrete dynamical system (X, f∞) and its induced nonautonomous discrete dynamical system (K(X),f∞¯), where K(X) is the hyperspace of non-empty compact ...
Completions of paratopological groups and bounded sets
(Springer Verlag, 2017)
In this paper we consider two questions in the realm of paratopological
groups: When does multiplication on a given Tychonoff paratopological group H
admit an extension to continuous multiplication on the Dieudonné ...
Some questions about Zadeh's extension on metric spaces
(Elsevier, 2018-10-29)
For
a
continuous
function
f
on
a
Hausdorff
space
X
,
we
prove
that
[
̂
f(u)
]
α
=
f(u
α
)
for
each
u
∈
F
(X)
and
α
∈[
0
,
1
]
,
where
̂
f
is
the
Zadeh’s
extension
of
f
.
By
...
Moscow spaces and selection theory
(Elsevier, 2008)
A well-known result on Moscow spaces states that every G<sub>δ</sub>-dense subset of a Moscow space X is C-embedded in X. We present here the selection version of this result and also (by means of two different approaches) ...
Mazur-Ulam type theorems for fuzzy normed spaces
(International Scientific Research Publications (ISRP), 2017-08)
In this paper, we provide Mazur-Ulam type results for (not necessarily surjective) maps preserving equality of fuzzy distance
defined between two fuzzy normed spaces. Our main goal is to study the additivity of such ...
A version of the Stone-Weierstrass theorem in fuzzy analysis
(International Scientific Research Publications (ISRP), 2017-08)
Let
C
(
K
,
E
1
)
be the space of continuous functions defined between a compact Hausdorff space
K
and the space of fuzzy
numbers
E
1
endowed with the supremum metric. We provide a set of sufficient conditions ...
Spaces splittable over the class of Eberlein and descriptive compact spaces
(Springer Milan, 2018)
We study splittability over some classes of compact spaces which are useful in functional analysis and general topology. Among other things we show that a scattered pseudocompact space splittable over the class of Eberlein ...
Dimension and entropy in compact topological groups
(Elsevier, 2019-03)
We study the topological entropy h(f) of continuous endomorphisms f of compact-like groups. More specifically, we consider the e-spectrum E top (K) for a compact-like group K (namely, the set of all values h(f) , when f ...