Productive Lindelöfness and a class of spaces considered by Z. Frolík

DOI10.1016/j.topol.2012.05.022zbMath1252.54006OpenAlexW1996974135MaRDI QIDQ439310

J. Herrera, H. S. Yoon

Publication date: 16 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.05.022

zbMATH Keywords

Rothberger\(\sigma\)-compactproductively LindelöfAlsterMichael space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Counterexamples in general topology (54G20) Continuum hypothesis and Martin's axiom (03E50) Local compactness, (sigma)-compactness (54D45)

Related Items (6)

The strength of Menger's conjecture ⋮ Productively Lindelöf and indestructibly Lindelöf spaces ⋮ Some thoughts on countable Lindelöf products ⋮ On totally Lindelöf spaces ⋮ Co-analytic spaces, \(K\)-analytic spaces, and definable versions of Menger's conjecture ⋮ On the definability of Menger spaces which are not \(\sigma\)-compact

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On productively Lindelöf spaces
• Remembering Mel Henriksen and (some of) his theorems
• Lindelöf spaces which are Menger, Hurewicz, Alster, productive, or \(D\)
• Lindelöf spaces which are indestructible, productive, or \(D\)
• Some properties of compactifications
• The topology of elementary submodels
• Projective \(\sigma\)-compactness, \(\omega_1\)-caliber, and \(C_p\)-spaces
• Projective versions of selection principles
• K ‐analytic sets
• Lindelöf indestructibility, topological games and selection principles
• On the class of all spaces of weight not greater than ω_1 whose Cartesian product with every Lindelöf space is Lindelöf
• A Construction in Set‐Theoretic Topology by Means of Elementary Substructures
• Some of the combinatorics related to Michael’s problem
• Productively Lindelöf Spaces May All Be D
• A solution to the L space problem
• On the descriptive theory of sets
• Approximation of Real Continuous Functions of Lindelof Spaces

This page was built for publication: Productive Lindelöfness and a class of spaces considered by Z. Frolík