QFS-domains and quasicontinuous domains
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3676-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3676-z | ||
| 245 | 0 | 0 | |a QFS-domains and quasicontinuous domains |h [Elektronische Daten] |c [Wen Zhang, Xiao Xu] |
| 520 | 3 | |a In this paper, we show that (1) for each QFS-domain L, L is an ωQFS-domain iff L has a countable base for the Scott topology; (2) the Scott-continuous retracts of QFS-domains are QFS-domains; (3) for a quasicontinuous domain L, L is Lawson compact iff L is a finitely generated upper set and for any x 1, x 2 ∈ L and finite G 1, G 2 ⊆ L with G 1 ≪ x 1, G 2 ≪ x 2, there is a finite subset F ⊆ L such that ↑ x 1∩ ↑ x 2 ⊆↑ F ⊆↑ G 1∩ ↑ G 2; (4) L is a QFS-domain iff L is a quasicontinuous domain and given any finitely many pairs {(F i , x i ): F i is finite, x i ∈ L with F i ≪ x i , 1 ≤ i ≤ n}, there is a quasi-finitely separating function δ on L such that F i ≪ δ(x i ) ≪ x i . | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a QFS-domain |2 nationallicence | |
| 690 | 7 | |a quasicontinuous domain |2 nationallicence | |
| 690 | 7 | |a Scott topology |2 nationallicence | |
| 690 | 7 | |a Lawson compact |2 nationallicence | |
| 700 | 1 | |a Zhang |D Wen |u Department of Mathematics, Sichuan University, 610064, Chengdu, P. R. China |4 aut | |
| 700 | 1 | |a Xu |D Xiao |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 295-304 |x 1439-8516 |q 31:2<295 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3676-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3676-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Wen |u Department of Mathematics, Sichuan University, 610064, Chengdu, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Xu |D Xiao |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 295-304 |x 1439-8516 |q 31:2<295 |1 2015 |2 31 |o 10114 | ||