Singular homology groups of one-dimensional Peano continua

K. Eda

doi:10.4064/fm232-2-1

Singular homology groups of one-dimensional Peano continua

K. Eda^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	99-115
Number of pages	17
Journal	Fundamenta Mathematicae
Volume	232
Issue number	2
DOIs	https://doi.org/10.4064/fm232-2-1
Publication status	Published - 2016

Keywords

Algebraic compactness
Hawaiian earring
One-dimensional
Peano continuum
Singular homology

ASJC Scopus subject areas

Algebra and Number Theory

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10.4064/fm232-2-1

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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.",

keywords = "Algebraic compactness, Hawaiian earring, One-dimensional, Peano continuum, Singular homology",

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KW - Singular homology

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Singular homology groups of one-dimensional Peano continua

Abstract

Keywords

ASJC Scopus subject areas

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