A+ CATEGORY SCIENTIFIC UNIT

Complexity of curves

Volume 182 / 2004

Udayan B. Darji, Alberto Marcone Fundamenta Mathematicae 182 (2004), 79-93 DOI: 10.4064/fm182-1-4

Abstract

We show that each of the classes of hereditarily locally connected, finitely Suslinian, and Suslinian continua is $\Pi_1^1$-complete, while the class of regular continua is $\Pi_0^4$-complete.

Authors

  • Udayan B. DarjiDepartment of Mathematics
    University of Louisville
    224 Natural Sciences Building
    Louisville, KY 40292, U.S.A.
    e-mail
  • Alberto MarconeDipartimento di Matematica e Informatica
    Università di Udine
    Via delle Scienze 208
    33100 Udine, Italy
    e-mail

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