On the interplay between productively Menger and productively Hurewicz spaces in models of b=d
Year: 2025
Type: article
Abstract: This article is devoted to the interplay between productively Menger and productively Hurewicz subspaces of the Cantor space. In particular, we show that in the Laver model for the consistency of the Borel's conjecture these two notions coincide and characterize Hurewicz spaces. On the other hand, it is consistent with CH that there are productively Hurewicz subspaces of the Cantor space which are not productively Menger.
Source: Topology and its Applications
Authors: Dušan D. Repovš, Lyubomyr Zdomskyy
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,920
Awards: Forsing, fuzija in kombinatorika odprtih pokritij (Slovene), Selected problems in applied and computational topology, Topology and its applications, Algebraic footprints of geometric features in homology, Biological code of knots - identification of knotted patterns in biomolecules via AI approach, Set-theoretic aspects of topological selections, A computational library for knotted structures and applications
OpenAlex ID: W4408567644