M. Erne, The ABC of order and topology, in: H. Herrlich and H.-E. Porst (eds.), Category Theory at Work, Heldermann Verlag, Berlin 1991, 57-83.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....are web neighborhoods, all D spaces are web spaces. While the latter are characterized by the dual frame property of their topologies, the former are precisely those spaces whose topologies are dual spatial frames. The subsequent more restricted classes of topological spaces have been studied in [13] and elsewhere. Recall that the core of a point is the intersection of its neighborhoods. A spaces = Alexandro spaces = spaces in which all cores are open B spaces = monotope spaces = spaces having a smallest base [24] C spaces = core spaces = spaces having local bases of cores The ....

Erne, M.: The ABC of order and topology, in: H. Herrlich and H.-E. Porst (eds.), Category Theory at Work, Heldermann Verlag, Berlin, 1991, 57-83.

.... it allows for more natural categorical explanations (e.g. by means of adjunctions) and it is more applicable to computer science situations (where relative information preservation is important) For references to the covariant form see [7] 51] 9] 32] 25] 35] 15] 42] 31] and [19]. 1 Galois main results were published fourteen years after his early death (at the age of 21 in a duel) by Liouville in his Journal de math ematiques pures et appliqu ees (1846) For a translation of Galois original notes Memoire sur les conditions de r esolubilit e des equations par ....

....property that every directed set with a least upper bound in U 2 T is eventually in U are called orderconsistent; the finest such topology is the Scott topology S . It consists of all those U X that satisfy x 2 U ( U D 6= for every directed D X with a least upper bound x (cf. 25] and [19]) Note that ( above implies U = U . In fact, all topologies between U and S are order consistent. Hence we may restrict to the subposet P 0 of order consistent topologies on X to obtain a new Galois connection 0 with 0 ( S . Now the 0 closed elements of P 0 are precisely ....

[Article contains additional citation context not shown here]

Ern' e, M. The ABC of order and topology. In Category Theory at Work, H. Herrlich and H.-E. Porst, Eds., no. 18 in Research and Exposition in Mathematics. Heldermann Verlag, Berlin, 1991, pp. 57--83.

.... it allows for more natural categorical explanations (e.g. by means of adjunctions) and it is more applicable to computer science situations (where relative information preservation is important) For references to the covariant form see [6] 50] 8] 31] 24] 34] 14] 41] 30] and [18]. 1 Galois main results were published fourteen years after his early death (at the age of 21 in a duel) by Liouville in his Journal de math ematiques pures et appliqu ees (1846) For a translation of Galois original notes Memoire sur les conditions de r esolubilit e des equations par ....

....property that every directed set with a least upper bound in U 2 T is eventually in U are called orderconsistent; the finest such topology is the Scott topology S . It consists of all those U X that satisfy x 2 U ( U D 6= for every directed D X with a least upper bound x (cf. 24] and [18]) Note that ( above implies U = U . In fact, all topologies between U and S are order consistent. Hence we may restrict to the subposet P 0 of order consistent topologies on X to obtain a new Galois connection 0 with 0 = S . Now the 0 closed elements of P 0 are precisely ....

[Article contains additional citation context not shown here]

Ern' e, M. The ABC of order and topology. In Category Theory at Work, H. Herrlich and H.-E. Porst, Eds., no. 18 in Research and Exposition in Mathematics. Heldermann Verlag, Berlin, 1991, pp. 57--83.

No context found.

M. Erne, The ABC of order and topology, in: H. Herrlich and H.-E. Porst (eds.), Category Theory at Work, Heldermann Verlag, Berlin 1991, 57-83.

No context found.

M. Erne, The ABC of order and topology, in: H. Herrlich and H.-E. Porst (eds.), Category Theory at Work, Heldermann Verlag, Berlin 1991, 57-83.

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