Open Research Index

Non-Cut Points of Hausdorff Continua

Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

Palomar Registrypalomar/PALOMAR-2026-10-06-000005Oct 6, 2026math.GNscore 0

Every nontrivial compact connected subset of a Hausdorff space contains two distinct points whose individual removals leave connected sets. A compact connected subset containing all non-cut points of a compact connected set equals that set.

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