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On the Closures of s-Quantum Spaces(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年04期
Page:
12-15
Research Field:
数学
Publishing date:

Info

Title:
On the Closures of s-Quantum Spaces
Author(s):
Wang Xijuan1; 2; He Wei1
1.School of Mathematical Sciences,Nanjing Normal University,Nanjing 210097,China
Keywords:
s-quantum space;  c lo sures;  ne ts;  convergence
PACS:
O189.11
DOI:
-
Abstract:
In this paper, a concept o f s-quantum spaces is in troduced and the re la tionsh ip betw een closures and conve rgence of nets are obta ined. In particu la r, w e show tha t the c lo sures o f each subsetA of a s-quantum spaceX is un ique ly de term ined by the convergence o f nets in A iffX is topolog ical.

References:

[ 1]  Susan B N ie fie ld, K immo IRosentha.l Construc ting locales from quan tales[ J]. M ath Proc Cam o Phil Soc, 1988, 104( 2):215-233
[ 2]  Bo rceux F, Bossche G Van Den. Quanta les and their sheaves[ J]. O rder, 1986, 3( 1): 61-87.
[ 3]  Bo rceux F, Bossche G Van Den. An essay on non-comm utative topo logy[ J]. Topo logy and its App lications, 1989, 31( 2):203-223.
[ 4]  Johnstone P T. S tone Spaces[M ]. Cambr idg e: Cambr idg eUn iversity Press, 1982.
[ 5]  John L Ke lly. Genera l Topo logy[M ] . New Yo rk: Spr ing er-Ver lag, 1955.

Memo

Memo:
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Last Update: 2013-04-23