The Mardešić Conjecture and free products of Boolean algebras

DOI10.1090/proc/14313zbMath1412.54038arXiv1711.10395OpenAlexW2963912011WikidataQ123225202 ScholiaQ123225202MaRDI QIDQ4621385

Gonzalo Martínez-Cervantes, Grzegorz Plebanek

Publication date: 12 February 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10395

zbMATH Keywords

interval algebrafree productlinearly ordered topological spacefree dimension

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Dimension theory in general topology (54F45) Stone spaces (Boolean spaces) and related structures (06E15) Topological lattices (06B30) Logical aspects of Boolean algebras (03G05)

Related Items (2)

The Mardešić conjecture for countably compact spaces ⋮ Finite products of connected nowhere separable linearly ordered spaces

Cites Work

• Unnamed Item
• Continuous images of linearly ordered continua and compacta
• Initial chain algebras on pseudotrees
• Cardinal functions on initial chain algebras on pseudotrees
• Compact spaces that do not map onto finite products
• Shorter Notes: A Short Proof That a Compact Ordered Space Cannot be Nonmetric Product
• On subalgebras of Boolean interval algebras
• Weakly Radon–Nikodým Boolean algebras and independent sequences
• Concerning Continuous Images of Compact Ordered Spaces

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