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Birkhoff's order-convergence in partially ordered sets.

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Publication:284618
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DOI10.1016/j.topol.2016.05.001zbMath1341.06011OpenAlexW2368138905MaRDI QIDQ284618

Lankun Guo, Tao Sun, Qing-Guo Li

Publication date: 18 May 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2016.05.001


zbMATH Keywords

B-topologydoubly continuous posetsorder-convergence


Mathematics Subject Classification ID

Partial orders, general (06A06) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Continuous lattices and posets, applications (06B35)


Related Items (4)

I2-convergence in T0 spaces ⋮ The B-topology on \(S^{\ast}\)-doubly quasicontinuous posets ⋮ A novel framework for lim-inf convergence in posets ⋮ On different modes of order convergence and some applications



Cites Work

  • Order-convergence and lim-inf \(\mathcal M\)-convergence in posets
  • Order convergence and order topology on a poset
  • A note on continuous partially ordered sets
  • Lim-inf convergence in partially ordered sets
  • Continuous Lattices and Domains
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