Homotopy types of one-dimensional Peano continua
Fundamenta Mathematicae (2010)
- Volume: 209, Issue: 1, page 27-42
- ISSN: 0016-2736
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topKatsuya Eda. "Homotopy types of one-dimensional Peano continua." Fundamenta Mathematicae 209.1 (2010): 27-42. <http://eudml.org/doc/283180>.
@article{KatsuyaEda2010,
abstract = {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.},
author = {Katsuya Eda},
journal = {Fundamenta Mathematicae},
keywords = {fundamental group; one-dimensional Peano continua; homotopy equivalence},
language = {eng},
number = {1},
pages = {27-42},
title = {Homotopy types of one-dimensional Peano continua},
url = {http://eudml.org/doc/283180},
volume = {209},
year = {2010},
}
TY - JOUR
AU - Katsuya Eda
TI - Homotopy types of one-dimensional Peano continua
JO - Fundamenta Mathematicae
PY - 2010
VL - 209
IS - 1
SP - 27
EP - 42
AB - 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.
LA - eng
KW - fundamental group; one-dimensional Peano continua; homotopy equivalence
UR - http://eudml.org/doc/283180
ER -
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