Geodesic
Non-separating subcontinua of planar continua
D. Daniel1 ; C. Islas2 ; R. Leonel3 ; E. D. Tymchatyn4
1Department of Mathematics Lamar University Beaumont, TX 77710, U.S.A.
2Department of Mathematics University of Saskatchewan Saskatoon, Saskatchewan, Canada S7N 0W0 and Universidad Autónoma de la Ciudad de México México, Mexico
3Department of Mathematics University of Saskatchewan Saskatoon, Saskatchewan, Canada S7N 0W0 and Universidad Autónoma del Estado de Hidalgo Pachuca, Mexico
4Department of Mathematics University of Saskatchewan Saskatoon, Saskatchewan, Canada S7N 0W0
Colloquium Mathematicum, Tome 141 (2015) no. 1, pp. 143-148

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

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 $X$.
DOI : 10.4064/cm141-1-12
Keywords: revisit old question knaster demonstrating each non degenerate plane hereditarily unicoherent continuum contains proper non degenerate subcontinuum which does separate

D. Daniel  1   ; C. Islas  2   ; R. Leonel  3   ; E. D. Tymchatyn  4

1 Department of Mathematics Lamar University Beaumont, TX 77710, U.S.A.
2 Department of Mathematics University of Saskatchewan Saskatoon, Saskatchewan, Canada S7N 0W0 and Universidad Autónoma de la Ciudad de México México, Mexico
3 Department of Mathematics University of Saskatchewan Saskatoon, Saskatchewan, Canada S7N 0W0 and Universidad Autónoma del Estado de Hidalgo Pachuca, Mexico
4 Department of Mathematics University of Saskatchewan Saskatoon, Saskatchewan, Canada S7N 0W0 
D. Daniel; C. Islas; R. Leonel; E. D. Tymchatyn. Non-separating subcontinua of planar continua. Colloquium Mathematicum, Tome 141 (2015) no. 1, pp. 143-148. doi: 10.4064/cm141-1-12
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