Zobrazeno 1 - 10
of 129
pro vyhledávání: '"D. C. Kent"'
Autor:
D. C. Kent, Won Keun Min
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 32, Iss 7, Pp 387-399 (2002)
Neighborhood spaces, pretopological spaces, and closure spaces are topological space generalizations which can be characterized by means of their associated interior (or closure) operators. The category NBD of neighborhood spaces and continuous maps
Externí odkaz:
https://doaj.org/article/8f0fd6d1824d4a0da2ca2fcd6fdf24df
Autor:
J. Wig, D. C. Kent
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 22, Iss 3, Pp 497-509 (1999)
The duality between “regular” and “topological” as convergence space properties extends in a natural way to the more general properties “p-regular” and “p-topological.” Since earlier papers have investigated regular, p-regular, and to
Externí odkaz:
https://doaj.org/article/186e644830a34ff1a4fd260d455b6482
Autor:
Scott A. Wilde, D. C. Kent
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 22, Iss 1, Pp 1-12 (1999)
The natural duality between topological and regular, both considered as convergence space properties, extends naturally to p-regular convergence spaces, resulting in the new concept of a p-topological convergence space. Taking advantage of this duali
Externí odkaz:
https://doaj.org/article/c13472dadfbe4638914678a5cd7af503
Autor:
D. M. Liu, D. C. Kent
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 1, Pp 105-110 (1997)
For a T3.5-ordered space, certain families of maps are designated as defining families. For each such defining family we construct the smallest T2-ordered compactification such that each member of the family can be extended to the compactification sp
Externí odkaz:
https://doaj.org/article/cdb3d9d5acfa4654aa911f92859c2570
Autor:
P. Brock, D. C. Kent
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 4, Pp 637-646 (1997)
The usual definition of regularity for convergence spaces can be characterized by a diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t-norm T, and the resulting axiom RT d
Externí odkaz:
https://doaj.org/article/3ddf71fbeceb4385a0fb98633b309ef8
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 4, Pp 665-676 (1995)
Necessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification of X.
Externí odkaz:
https://doaj.org/article/fb6b8803d194439c99b0c2e7030ec53c
Autor:
D. C. Kent, T. A. Richmond
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 1, Pp 117-124 (1993)
A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to
Externí odkaz:
https://doaj.org/article/549b26495d914f3d898cd2928a86d282
Autor:
D. C. Kent, Dongmei Liu
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 4, Pp 645-652 (1993)
We construct the Nachbin compactification for a T3.5-ordered topological ordered space by tailing a quotient of an ordered convergence space compactification. A variation of this quotient construction leads to a compactification functor on the catego
Externí odkaz:
https://doaj.org/article/30ec374321674281ab78abc225df549e
Autor:
Margaret A. Gamon, D. C. Kent
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 15, Iss 1, Pp 199-202 (1992)
Necessary and sufficient conditions are given for the equivalence of the Nachbin and Wallman-ordered compactification of an ordered plane.
Externí odkaz:
https://doaj.org/article/47c1f620fc484633898adac58c275c64
Autor:
D. C. Kent, T. A. Richmond
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 13, Iss 2, Pp 209-221 (1990)
The Wallman ordered compactification ω0X of a topological ordered space X is T2-ordered (and hence equivalent to the Stone-Čech ordered compactification) iff X is a T4-ordered c-space. In particular, these two ordered compactifications are equivale
Externí odkaz:
https://doaj.org/article/dd6ebcd2c4d84adc9da10b128216f411