CHARACTERIZATION OF ARCS BY PRODUCTS AND DIAGONALS

Publication Date

1-1-2024

Document Type

Article

Publication Title

Topology Proceedings

Volume

63

First Page

1

Last Page

4

Abstract

We prove that a continuum X is a Hausdorff arc if, and only if, X2 − D is not connected, where D is the diagonal of X2

Keywords

arc, continuum, cut point, diagonal, Hausdorff arc, linearly ordered topological space, non-cut point, product

Department

Mathematics and Statistics

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