The countable sup property for lattices of continuous functions

DOI10.1016/j.jmaa.2018.05.028zbMath1396.46023arXiv1706.02485OpenAlexW2622182530WikidataQ129852238 ScholiaQ129852238MaRDI QIDQ1635609

Y. Aharonov

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02485

zbMATH Keywords

chain conditionsstrictly positive functionalscountable sup property

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

The countable sup property for lattices of continuous functions ⋮ Order continuity and regularity on vector lattices and on lattices of continuous functions ⋮ Vector lattices with a Hausdorff uo-Lebesgue topology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unbounded norm topology in Banach lattices
• Topics in topology
• Banach lattices
• Introduction to topological groups
• The countable sup property for lattices of continuous functions
• Option spanning beyond \(L_p\)-models
• Some loose ends on unbounded order convergence
• Unbounded order convergence in dual spaces
• Unbounded order convergence and application to martingales without probability
• Locally piecewise affine functions and their order structure
• Uo-convergence and its applications to Cesàro means in Banach lattices
• Iterated Cohen extensions and Souslin's problem
• Is the product of ccc spaces a ccc space?
• On a Theorem in Metric Spaces
• Chain conditions and products
• Smallest order closed sublattices and option spanning
• SOUSLIN'S PROBLEM
• The Discrete Countable Chain Condition
• Internal cohen extensions

This page was built for publication: The countable sup property for lattices of continuous functions