Results 41 to 50 of about 102 (83)

On spectral compactness of von neumann regular rings [PDF]

open access: yes, 2012
We characterize the spectral compactness of commutative von Neumann regular rings. We show that through a process of adjunction of identity, we can obtain the Alexandroff compactification or a star compactification of the prime spectrum of certain von ...
Acosta, Lorenzo, Rubio, Ibeth Marcela
core  

Bitopological local compactness

open access: yes, 1972
In a bitopological space (X, T1, T2), T1 is said to be locally compact with respect to T2 if for each point x ϵ X there is a T1 open neighbourhood of x whose T2 closure is pairwise compact. (X, T1, T2) is pairwise locally compact if T1 is locally compact
Reilly, Ivan L, Ivan L Reilly
core   +1 more source

Extremal length and harmonic functions on Riemann surfaces

open access: yes, 1972
Expressions for several conformally invariant pseudometrics on a Riemann surface R R are given in terms of three new forms of reduced extremal distance.
Carl David Minda
core   +1 more source

Presenting the frame of the unit circle

open access: yes, 2016
We present the frame L(T) of the unit circle by generators and relations in two alternative ways. The first is the localic counterpart of the Alexandroff compactification of the real line while the other can be understood as a localic analogue of the ...
Picado, Jorge   +2 more
core   +1 more source

Filter characterizations of 𝐶- and 𝐶*-embeddings

open access: yes, 1972
A filter F on a space S is completely regular if the complement of each set in F is completely separated from some set in F. A characterization of the Stone-Čech compactification due to Alexandroff is used to establish the following theorem. Suppose K is
John William Green
core   +1 more source

Spectral primal spaces

open access: yes, 2019
Let [Formula: see text] be a mapping. Consider [Formula: see text] Then, according to Echi, [Formula: see text] is an Alexandroff topology. A topological space [Formula: see text] is called a primal space if its topology coincides with an [Formula: see ...
Tarek Turki, Othman Echi
core   +1 more source

Compactification of topological spaces [PDF]

open access: yes
En este trabajo se estudiarán las compactificaciones de espacios topológicos. Una compactificación de un espacio topológico X es un par ordenado (K, h) donde K es un espacio Hausdorff compacto y h es un embebimento de X en K con h(X) denso en K.
Espeso Queipo, Ester
core  

A quasi-closure preserving sum theorem about the Namioka property

open access: yes, 1997
A compact space X is said to be co-Namioka (or to have the Namioka property) if, for every Baire space B and every separately continuous function ƒ: B × X → R there exists a Gδ dense subset A of B such that ƒ is (jointly) continuous at each point of A ...
Bouziad, Ahmed
core   +1 more source

The existence of one-point connectifications

open access: yes, 2017
P. Alexandroff proved that a locally compact $T_2$-space has a $T_2$ one-point compactification (obtained by adding a "point at infinity") if and only if it is non-compact.
Koushesh, M. R.
core   +1 more source

Pseudocompactness and the cozero part of a frame [PDF]

open access: yes, 1996
summary:A characterization of the cozero elements of a frame, without reference to the reals, is given and is used to obtain a characterization of pseudocompactness also independent of the reals. Applications are made to the congruence frame of a $\sigma$
Gilmour, Christopher   +1 more
core  

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