Singular homology groups of one-dimensional Peano continua

K. Eda

Fundamenta Mathematicae (2016)

  • Volume: 232, Issue: 2, page 99-115
  • ISSN: 0016-2736

Abstract

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Let X be a one-dimensional Peano continuum. Then the singular homology group H₁(X) is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.

How to cite

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K. Eda. "Singular homology groups of one-dimensional Peano continua." Fundamenta Mathematicae 232.2 (2016): 99-115. <http://eudml.org/doc/283200>.

@article{K2016,
abstract = {Let X be a one-dimensional Peano continuum. Then the singular homology group H₁(X) is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.},
author = {K. Eda},
journal = {Fundamenta Mathematicae},
keywords = {one dimensional space; Peano continuum; singular homology; Hawaiian earring; algebraic compactness},
language = {eng},
number = {2},
pages = {99-115},
title = {Singular homology groups of one-dimensional Peano continua},
url = {http://eudml.org/doc/283200},
volume = {232},
year = {2016},
}

TY - JOUR
AU - K. Eda
TI - Singular homology groups of one-dimensional Peano continua
JO - Fundamenta Mathematicae
PY - 2016
VL - 232
IS - 2
SP - 99
EP - 115
AB - Let X be a one-dimensional Peano continuum. Then the singular homology group H₁(X) is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.
LA - eng
KW - one dimensional space; Peano continuum; singular homology; Hawaiian earring; algebraic compactness
UR - http://eudml.org/doc/283200
ER -

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