Title
On topologies defined by irreducible sets.
Abstract
•We introduce a new kind of derived topology a lá Scott topology.•We systematically replace directed sets with irreducible sets.•Results which generalize existing ones are proven, with applications to posets.•SI-compactness is invented and related results are also obtained.
Year
DOI
Venue
2015
10.1016/j.jlamp.2014.10.003
Journal of Logical and Algebraic Methods in Programming
Keywords
Field
DocType
T0-space,Sober space,k-bounded sober space,Irreducibly-derived topology,SI-open,Scott topology
Weak topology (polar topology),Discrete mathematics,General topology,Strong topology (polar topology),Initial topology,Product topology,Extension topology,Particular point topology,Lower limit topology,Mathematics
Journal
Volume
Issue
ISSN
84
1
2352-2208
Citations 
PageRank 
References 
1
0.63
1
Authors
2
Name
Order
Citations
PageRank
Dongsheng Zhao111.30
Weng Kin Ho2235.41