Geodesic
Non-separating subcontinua of planar continua
D. Daniel1 ; C. Islas2 ; R. Leonel3 ; E. D. Tymchatyn4
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
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

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 
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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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