A dimensional property of Cartesian product

• Autorzy: Michael Levin
• Języki publikacji: EN

Abstrakty

EN

We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.

Kategorie tematyczne

• 55M10: Dimension theory
• 55N45: Products and intersections
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 220
• Numer: 3
• Strony: 281-286

Daty

wydano

2013

Twórcy

autor

Michael Levin

• Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be'er Sheva 84105, Israel

Identyfikatory

DOI

10.4064/fm220-3-7