A result forO₂-convergence to be topological in posets

• Autorzy: Qingguo Li , Zhiwei Zou
• Języki publikacji: EN

Abstrakty

EN

In this paper, the α waybelow relation, which is determined by O2-convergence, is characterized by the order on a poset, and a sufficient and necessary condition for O2-convergence to be topological is obtained.

Słowa kluczowe

EN

O2-convergence; O2-doubly continuous poset; Topological, α-doubly continuous poset; α-doubly continuous poset

Kategorie tematyczne

• 06B35: Continuous lattices and posets, applications
• 54A20: Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 237-246

Daty

wydano

2016-01-01

otrzymano

2016-01-06

zaakceptowano

2016-03-09

online

2016-04-23

Twórcy

autor

Qingguo Li

• College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082,,

autor

Zhiwei Zou

• College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082,,

Identyfikatory

DOI

10.1515/math-2016-0018