Complexity of curves

Udayan B. Darji; Alberto Marcone

Fundamenta Mathematicae (2004)

  • Volume: 182, Issue: 1, page 79-93
  • ISSN: 0016-2736

Abstract

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We show that each of the classes of hereditarily locally connected, finitely Suslinian, and Suslinian continua is Π₁¹-complete, while the class of regular continua is Π₀⁴-complete.

How to cite

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Udayan B. Darji, and Alberto Marcone. "Complexity of curves." Fundamenta Mathematicae 182.1 (2004): 79-93. <http://eudml.org/doc/283263>.

@article{UdayanB2004,
abstract = {We show that each of the classes of hereditarily locally connected, finitely Suslinian, and Suslinian continua is Π₁¹-complete, while the class of regular continua is Π₀⁴-complete.},
author = {Udayan B. Darji, Alberto Marcone},
journal = {Fundamenta Mathematicae},
keywords = {hereditarily locally connected continuum; Suslinian continuum; finitely Suslinian continuum; regular continuum; -complete set; Borel hierarchy; projective hierarchy},
language = {eng},
number = {1},
pages = {79-93},
title = {Complexity of curves},
url = {http://eudml.org/doc/283263},
volume = {182},
year = {2004},
}

TY - JOUR
AU - Udayan B. Darji
AU - Alberto Marcone
TI - Complexity of curves
JO - Fundamenta Mathematicae
PY - 2004
VL - 182
IS - 1
SP - 79
EP - 93
AB - We show that each of the classes of hereditarily locally connected, finitely Suslinian, and Suslinian continua is Π₁¹-complete, while the class of regular continua is Π₀⁴-complete.
LA - eng
KW - hereditarily locally connected continuum; Suslinian continuum; finitely Suslinian continuum; regular continuum; -complete set; Borel hierarchy; projective hierarchy
UR - http://eudml.org/doc/283263
ER -

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