Non-separating subcontinua of planar continua

D. Daniel; C. Islas; R. Leonel; E. D. Tymchatyn

Colloquium Mathematicae (2015)

  • Volume: 141, Issue: 1, page 143-148
  • ISSN: 0010-1354

Abstract

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We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.

How to cite

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D. Daniel, et al. "Non-separating subcontinua of planar continua." Colloquium Mathematicae 141.1 (2015): 143-148. <http://eudml.org/doc/284302>.

@article{D2015,
abstract = {We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.},
author = {D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn},
journal = {Colloquium Mathematicae},
keywords = {cut point; cut continuum; dendroid; non-separating subcontinuum; plane continuum},
language = {eng},
number = {1},
pages = {143-148},
title = {Non-separating subcontinua of planar continua},
url = {http://eudml.org/doc/284302},
volume = {141},
year = {2015},
}

TY - JOUR
AU - D. Daniel
AU - C. Islas
AU - R. Leonel
AU - E. D. Tymchatyn
TI - Non-separating subcontinua of planar continua
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 1
SP - 143
EP - 148
AB - We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.
LA - eng
KW - cut point; cut continuum; dendroid; non-separating subcontinuum; plane continuum
UR - http://eudml.org/doc/284302
ER -

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