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SG Connected Spaces - Qatar University QSpace
... and every semiclosed (resp. g-closed) set is sg.-closed by the ...
... and every semiclosed (resp. g-closed) set is sg.-closed by the ...
Topological & Uniform Generalization of Densificable Spaces Jos ´e Ignacio ´
... We make the logical generalitation to quasi-uniform spaces (X, U), replacing the balls of radii by the entourage, i.e. A is densificable if ∀U ∈ U ∃γ ∈ C(I, A)∀x ∈ A : γ(I) ∩ U (x) 6= ∅ where U (x) = {y ∈ X : (x, y) ∈ U }. This generalitation are as good as we can expect; a metric space is densifi ...
... We make the logical generalitation to quasi-uniform spaces (X, U), replacing the balls of radii by the entourage, i.e. A is densificable if ∀U ∈ U ∃γ ∈ C(I, A)∀x ∈ A : γ(I) ∩ U (x) 6= ∅ where U (x) = {y ∈ X : (x, y) ∈ U }. This generalitation are as good as we can expect; a metric space is densifi ...
Primitive words and spectral spaces
... It is worth noting that the interest in Alexandroff spaces was a consequence of the very important role of finite spaces in digital topology and the fact that these spaces have all the properties of finite spaces relevant for such theory. It is, also, worth noting that Alexandroff T0 -spaces have been s ...
... It is worth noting that the interest in Alexandroff spaces was a consequence of the very important role of finite spaces in digital topology and the fact that these spaces have all the properties of finite spaces relevant for such theory. It is, also, worth noting that Alexandroff T0 -spaces have been s ...
Irreducibility of product spaces with finitely many points removed
... We prove an induction step that can be used to show that in certain cases the removal of finitely many points from a product space produces an irreducible space. For example, we show that whenever γ is less than ℵω , removing finitely many points from the product of γ many first countable compact sp ...
... We prove an induction step that can be used to show that in certain cases the removal of finitely many points from a product space produces an irreducible space. For example, we show that whenever γ is less than ℵω , removing finitely many points from the product of γ many first countable compact sp ...