Results 41 to 50 of about 102 (83)
On spectral compactness of von neumann regular rings [PDF]
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
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Bitopological local compactness
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
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Extremal length and harmonic functions on Riemann surfaces
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
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Presenting the frame of the unit circle
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
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Filter characterizations of 𝐶- and 𝐶*-embeddings
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
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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
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Compactification of topological spaces [PDF]
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
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A quasi-closure preserving sum theorem about the Namioka property
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
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The existence of one-point connectifications
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.
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Pseudocompactness and the cozero part of a frame [PDF]
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
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