Non-separating subcontinua of planar continua
D. Daniel ; C. Islas ; R. Leonel ; E. D. Tymchatyn
Colloquium Mathematicae, Tome 139 (2015), p. 143-148 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:284302 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm141-1-12,
     author = {D. Daniel and C. Islas and R. Leonel and E. D. Tymchatyn},
     title = {Non-separating subcontinua of planar continua},
     journal = {Colloquium Mathematicae},
     volume = {139},
     year = {2015},
     pages = {143-148},
     zbl = {1329.54036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm141-1-12}
}

D. Daniel; C. Islas; R. Leonel; E. D. Tymchatyn. Non-separating subcontinua of planar continua. Colloquium Mathematicae, Tome 139 (2015) pp. 143-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm141-1-12/