Dualities of Stably Compact Spaces
... A T0 -space X is called a C -space (Erné) or an α-space (Ershov) if each of its points has a neighborhood basis of principal filters ↑x = {y ∈ X | x ≤ y} (sometimes called cores) with respect to the specialization order. (This means that given y ∈ U , U open, there exists x ∈ U and V open such that ...
... A T0 -space X is called a C -space (Erné) or an α-space (Ershov) if each of its points has a neighborhood basis of principal filters ↑x = {y ∈ X | x ≤ y} (sometimes called cores) with respect to the specialization order. (This means that given y ∈ U , U open, there exists x ∈ U and V open such that ...
On Noetherian Spaces - LSV
... 61, avenue du président-Wilson, F-94235 Cachan, France [email protected] ...
... 61, avenue du président-Wilson, F-94235 Cachan, France [email protected] ...
METRIC TOPOLOGY: A FIRST COURSE
... vertices, edges, and faces, much as if you were designing a soccer ball. The simplest soccer ball would have three vertices, each vertex would be joined to each other vertex, and there would be two curvy triangular faces (so V = E = 3, F = 2, and V − E + F = 2). The classic soccer ball is a bit more ...
... vertices, edges, and faces, much as if you were designing a soccer ball. The simplest soccer ball would have three vertices, each vertex would be joined to each other vertex, and there would be two curvy triangular faces (so V = E = 3, F = 2, and V − E + F = 2). The classic soccer ball is a bit more ...
A class of angelic sequential non-Fréchet–Urysohn topological groups
... This short note was originated by the following question of D. Dikranjan: if the compact subsets of a topological space X are Fréchet–Urysohn must the k-extension of X be Fréchet–Urysohn? Together with the negative answer to this question, the results obtained here make us conclude, loosely speaking ...
... This short note was originated by the following question of D. Dikranjan: if the compact subsets of a topological space X are Fréchet–Urysohn must the k-extension of X be Fréchet–Urysohn? Together with the negative answer to this question, the results obtained here make us conclude, loosely speaking ...
Connected topological generalized groups
... connected components under identity if it satisfies the following conditions. (i) e(S) ⊆ S; (ii) If N is a connected subset of G and S ⊂ N , then S = N . Example 4.1. The non-empty set G with the product a ∗ b = a and discrete topology is a topological generalized group. The set {a} is a stable conn ...
... connected components under identity if it satisfies the following conditions. (i) e(S) ⊆ S; (ii) If N is a connected subset of G and S ⊂ N , then S = N . Example 4.1. The non-empty set G with the product a ∗ b = a and discrete topology is a topological generalized group. The set {a} is a stable conn ...
Linear operators between partially ordered Banach spaces and
... COROLLARY 1.1.13. X is a simplex space iff X is a.o.u.-normed and has the RALF. The next result shows that the circle of duality results involving order unit-, base-, and a.o.u.-normed spaces is in fact closed. PROPOSITION 1.1.14. If X is a.o.u.-nanned, then it is order ...
... COROLLARY 1.1.13. X is a simplex space iff X is a.o.u.-normed and has the RALF. The next result shows that the circle of duality results involving order unit-, base-, and a.o.u.-normed spaces is in fact closed. PROPOSITION 1.1.14. If X is a.o.u.-nanned, then it is order ...
