Completeness of the homeomorphism relation of locally connected continua

Cieśla, Tomasz

doi:10.1090/proc/14245

Completeness of the homeomorphism relation of locally connected continua
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Proc. Amer. Math. Soc. 147 (2019), 1269-1276 Request permission

Abstract:

In this paper we prove that the homeomorphism relation of locally star-convex continua is a complete orbit equivalence relation. This implies that the homeomorphism relation of locally connected continua is complete. This answers a question posed by Chang and Gao [Proc. Amer. Math. Soc. 145 (2017), no. 3, 1329–1342].

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