$1\over 2$-Homogeneous hyperspace suspensions

Sergio Macías; Patricia Pellicer-Covarrubias

doi:10.4064/cm128-1-10

Geodesic

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$1\over 2$-Homogeneous hyperspace suspensions

Sergio Macías ¹ ; Patricia Pellicer-Covarrubias ²

¹ Instituto de Matemáticas Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria México, D.F., C.P. 04510, México
² Departamento de Matemáticas Facultad de Ciencias Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria México, D.F., C.P. 04510, México

Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 109-132.

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

Résumé

We continue the study of $1\over 2$-homogeneity of the hyperspace suspension of continua. We prove that if $X$ is a decomposable continuum and its hyperspace suspension is $1\over 2$-homogeneous, then $X$ must be continuum chainable. We also characterize $1\over 2$-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.

DOI : 10.4064/cm128-1-10

Keywords: continue study homogeneity hyperspace suspension continua prove decomposable continuum its hyperspace suspension homogeneous continuum chainable characterize homogeneity hyperspace suspension several classes continua including continua containing arc atriodic decomposable continua decomposable irreducible continua about finite set

Affiliations des auteurs :

Sergio Macías ¹ ; Patricia Pellicer-Covarrubias ²

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Sergio Macías; Patricia Pellicer-Covarrubias. $1\over 2$-Homogeneous hyperspace suspensions. Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 109-132. doi : 10.4064/cm128-1-10. http://geodesic.mathdoc.fr/articles/10.4064/cm128-1-10/

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