The Covering Dimension of the Sorgenfrey Plane
Ol'ga Sipacheva
TL;DR
This paper proves that the square of the Sorgenfrey line has an infinite covering dimension, contributing to the understanding of topological properties of this space.
Contribution
It establishes that the Sorgenfrey plane's square has infinite covering dimension, a novel result in topology.
Findings
The Sorgenfrey plane's square has infinite covering dimension.
This result advances knowledge of topological dimension theory.
The paper provides a new example of a space with infinite covering dimension.
Abstract
It is proved that the square of the Sorgenfrey line has infinite covering dimension.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Rings, Modules, and Algebras