Homotopy and homology groups of the n-dimensional Hawaiian earring
Katsuya Eda; Kazuhiro Kawamura
Fundamenta Mathematicae (2000)
- Volume: 165, Issue: 1, page 17-28
- ISSN: 0016-2736
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topEda, Katsuya, and Kawamura, Kazuhiro. "Homotopy and homology groups of the n-dimensional Hawaiian earring." Fundamenta Mathematicae 165.1 (2000): 17-28. <http://eudml.org/doc/212457>.
@article{Eda2000,
abstract = {For the n-dimensional Hawaiian earring $ℍ_n,$ n ≥ 2, $π _n(ℍ_n,o)≃ ℤ^ω$ and $π_i(ℍ_n, o)$ is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then $H_n(X∨Y) ≃ H_\{n\}(X) ⊕ H_n(Y) ⊕ H_\{n\}(CX∨CY)$ for n ≥ 1.},
author = {Eda, Katsuya, Kawamura, Kazuhiro},
journal = {Fundamenta Mathematicae},
keywords = {homology group; Čech homotopy group; n-dimensional Hawaiian earring},
language = {eng},
number = {1},
pages = {17-28},
title = {Homotopy and homology groups of the n-dimensional Hawaiian earring},
url = {http://eudml.org/doc/212457},
volume = {165},
year = {2000},
}
TY - JOUR
AU - Eda, Katsuya
AU - Kawamura, Kazuhiro
TI - Homotopy and homology groups of the n-dimensional Hawaiian earring
JO - Fundamenta Mathematicae
PY - 2000
VL - 165
IS - 1
SP - 17
EP - 28
AB - For the n-dimensional Hawaiian earring $ℍ_n,$ n ≥ 2, $π _n(ℍ_n,o)≃ ℤ^ω$ and $π_i(ℍ_n, o)$ is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then $H_n(X∨Y) ≃ H_{n}(X) ⊕ H_n(Y) ⊕ H_{n}(CX∨CY)$ for n ≥ 1.
LA - eng
KW - homology group; Čech homotopy group; n-dimensional Hawaiian earring
UR - http://eudml.org/doc/212457
ER -
References
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