Geodesic
Homotopy types of one-dimensional Peano continua
Katsuya Eda1
1 School of Science and Engineering Waseda University Tokyo 169-8555, Japan
Fundamenta Mathematicae, Tome 209 (2010) no. 1, pp. 27-42.

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

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.
DOI : 10.4064/fm209-1-3
Keywords: one dimensional peano continua fundamental groups isomorphic homotopy equivalent every homomorphism fundamental group composition homomorphism induced continuous map base point change isomorphism

Katsuya Eda 1

1 School of Science and Engineering Waseda University Tokyo 169-8555, Japan 
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Katsuya Eda. Homotopy types of one-dimensional Peano continua. Fundamenta Mathematicae, Tome 209 (2010) no. 1, pp. 27-42. doi : 10.4064/fm209-1-3. http://geodesic.mathdoc.fr/articles/10.4064/fm209-1-3/

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