TL;DR
This paper establishes a specific condition on a space X that ensures all finite powers of X can be embedded into linearly ordered spaces, advancing understanding of ordered topological structures.
Contribution
The paper introduces a new condition on topological spaces that guarantees their finite powers are embeddable into linearly ordered spaces.
Findings
Finite powers of X are homeomorphic to subspaces of linearly ordered spaces under the condition.
Provides a characterization for spaces whose finite powers embed into linearly ordered spaces.
Advances the theory of ordered topological spaces and their embeddings.
Abstract
We identify a condition on X that guarantees that any finite power of X is homeomorphic to a subspace of a linearly ordered space
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Rings, Modules, and Algebras