Homotopy types of one-dimensional Peano continua
Katsuya Eda
Fundamenta Mathematicae, Tome 209 (2010), p. 27-42 / Harvested from The Polish Digital Mathematics Library
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Let X and Y be one-dimensional Peano continua. If the fundamental groups of X and Y are isomorphic, then X and Y are homotopy equivalent. Every homomorphism from the fundamental group of X to that of Y is a composition of a homomorphism induced from a continuous map and a base point change isomorphism.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283180 
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Katsuya Eda. Homotopy types of one-dimensional Peano continua. Fundamenta Mathematicae, Tome 209 (2010) pp. 27-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm209-1-3/