Geodesic
Hereditarily non-weakly chainable continua in products of plane continua
Alejandro Illanes1
1 Instituto de Matemáticas Universidad Nacional Autónoma de México Circuito Exterior, Cd. Universitaria 04510, México, D.F., Mexico and Department of Mathematics Texas Tech University Lubbock, Texas 79409-1042, U.S.A.
Fundamenta Mathematicae, Tome 239 (2017) no. 1, pp. 19-27 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the product of any two non-degenerate plane continua contains a non-degenerate hereditarily non-weakly chainable continuum. Consequently, in the product of two pseudo-arcs, there exists a non-degenerate subcontinuum containing no pseudo-arc. This answers a question by D. P. Bellamy.
DOI : 10.4064/fm315-10-2016
Keywords: prove product non degenerate plane continua contains non degenerate hereditarily non weakly chainable continuum consequently product pseudo arcs there exists non degenerate subcontinuum containing pseudo arc answers question bellamy

Alejandro Illanes 1

1 Instituto de Matemáticas Universidad Nacional Autónoma de México Circuito Exterior, Cd. Universitaria 04510, México, D.F., Mexico and Department of Mathematics Texas Tech University Lubbock, Texas 79409-1042, U.S.A. 
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Alejandro Illanes. Hereditarily non-weakly chainable continua in products of plane continua. Fundamenta Mathematicae, Tome 239 (2017) no. 1, pp. 19-27. doi: 10.4064/fm315-10-2016

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