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Quasi-liminf convergence in posets.
- Source :
-
Topology & Its Applications . Sep2021, Vol. 301, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- In this paper, the concepts of g s 2 -convergence and quasi-liminf convergence of filters in posets are introduced. The main results are: (1) For an order consistent topology τ on a poset P , P is τ -quasicontinuous iff the g s 2 -convergence coincides with τ -convergence; (2) For an order consistent topology τ on a poset P , the quasi-liminf convergence coincides with τ ∨ ω (P) -convergence if P is τ -quasicontinuous; (3) For an order consistent topology τ on a poset P , P is τ -continuous iff the s 2 -convergence coincides with τ -convergence iff it is meet τ -continuous and the quasi-liminf convergence coincides with τ ∨ ω (P) -convergence. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGY
*PARTIALLY ordered sets
Subjects
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 301
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 152467579
- Full Text :
- https://doi.org/10.1016/j.topol.2020.107546