منابع مشابه
Homogeneity Properties of Some l1-Spaces
Let M be a family of subspaces of a metric space X. The space X is M–homogeneous if any isometry between two subspaces in M can be extended to an isometry of X. In the case when M is the family of all subspaces of X, the space X is said to be fully homogeneous. We show that the space L, where L is a fully homogeneous subspace of R, is R– homogeneous where R is the family of subspaces that are p...
متن کاملCountable Dense Homogeneity of Definable Spaces
We investigate which definable separable metric spaces are countable dense homogeneous (CDH). We prove that a Borel CDH space is completely metrizable and give a complete list of zero-dimensional Borel CDH spaces. We also show that for a Borel X ⊆ 2 the following are equivalent: (1) X is Gδ in 2 ω , (2) X is CDH and (3) X is homeomorphic to 2 or to ω . Assuming the Axiom of Projective Determina...
متن کاملLocal homogeneity in fuzzy topological spaces
is also a fuzzy lattice. Throughout this paper, if {λj : j ∈ J} is a collection of L-sets in X , then (∨λj)(x) = ∨{λj(x) : j ∈ J}, x ∈ X ; and (∧λj)(x)=∧{λj(x) : j ∈ J}, x ∈ X . If r ∈ L, then rX denotes the fuzzy set given by rX(x) = r for all x ∈ X ; that is, rX denotes the “constant” L-set of level r, that is, the smallest and the largest elements of LX are denoted, respectively, by 0X and 1...
متن کاملStrong Local Homogeneity and Coset Spaces
We prove that for every homogeneous and strongly locally homogeneous separable metrizable space X there is a metrizable compactification γX of X such that, among other things, for all x, y ∈ X there is a homeomorphism f : γX → γX such that f(x) = y. This implies that X is a coset space of some separable metrizable topological group G.
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1988
ISSN: 0166-8641
DOI: 10.1016/0166-8641(88)90035-1