Bornologies and filters applied to selection principles and function spaces

DOI10.1016/J.TOPOL.2017.12.031zbMath1431.54008arXiv1710.01651OpenAlexW2761841449WikidataQ128306834 ScholiaQ128306834MaRDI QIDQ1738938

Renan M. Mezabarba, Leandro Fiorini Aurichi

Publication date: 24 April 2019

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

Full work available at URL: https://arxiv.org/abs/1710.01651

zbMATH Keywords

topological gamesfilterfunction spacesselection principlesbornologycountable fan tightness

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Peculiar topological spaces (54G99)

Related Items (1)

Pointless proofs of the Menger and Rothberger games

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on countable tightness
• Bornologies, selection principles and function spaces
• Productive local properties of function spaces
• Some properties of C(X). I
• Topological properties of spaces of continuous functions
• Tightness games with bounded finite selections
• Some generalization of rapid ultrafilters in topology and Id-fan tightness
• Combinatorics of open covers. I: Ramsey theory
• Compatible relations on filters and stability of local topological properties under supremum and product
• Applications of \(k\)-covers
• The combinatorics of open covers. II
• Selective covering properties of product spaces, II: $\gamma $ spaces
• Productively countably tight spaces of the form C_k(X)
• Menger's and Hurewicz's Problems: Solutions from "The Book" and refinements
• [https://portal.mardi4nfdi.de/wiki/Publication:3032970 Property C � � and Function Spaces]
• [https://portal.mardi4nfdi.de/wiki/Publication:3366688 Productively Fr�chet Spaces]
• A hodgepodge of sets of reals
• Sequence-covering and countably bi-quotient mappings
• A quintuple quotient quest
• Topologies on Spaces of Subsets

This page was built for publication: Bornologies and filters applied to selection principles and function spaces