Open Research Index

Order Arcs Between Subcontinua

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

Palomar Registrypalomar/PALOMAR-2026-10-07-000008Oct 7, 2026math.GNscore 0

Properly nested nonempty compact connected subsets A and B of a compact metric space are the endpoints of a continuous embedded interval of nonempty compact connected subsets, strictly increasing under inclusion. The ambient space need not be connected.

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