The subjectivity of the canonical homomorphism from singular homology to čech homology

Katsuya Eda; Kazuhiro Kawamura

The subjectivity of the canonical homomorphism from singular homology to čech homology

Katsuya Eda^*, Kazuhiro Kawamura

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

Let X be a locally n-connectcd compact metric space. Then, the canonical homomorphism from the singular homology group H_n+1(X) to the Čech homology group Ȟ_n+1(X) is surjective. Consequently, if a compact metric space X is locally connected, then the canonical homomorphism from H₁ (X) to Ȟ₁ (X) is surjective.

Original language	English
Pages (from-to)	1487-1495
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	5
Publication status	Published - 2000

Keywords

Čech homology
Canonical homomorphism
Singular homology
Surjectivc

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

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title = "The subjectivity of the canonical homomorphism from singular homology to {\v c}ech homology",

abstract = "Let X be a locally n-connectcd compact metric space. Then, the canonical homomorphism from the singular homology group Hn+1(X) to the {\v C}ech homology group Ȟn+1(X) is surjective. Consequently, if a compact metric space X is locally connected, then the canonical homomorphism from H1 (X) to Ȟ1 (X) is surjective.",

keywords = "{\v C}ech homology, Canonical homomorphism, Singular homology, Surjectivc",

author = "Katsuya Eda and Kazuhiro Kawamura",

year = "2000",

language = "English",

volume = "128",

pages = "1487--1495",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "5",

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TY - JOUR

T1 - The subjectivity of the canonical homomorphism from singular homology to čech homology

AU - Eda, Katsuya

AU - Kawamura, Kazuhiro

PY - 2000

Y1 - 2000

N2 - Let X be a locally n-connectcd compact metric space. Then, the canonical homomorphism from the singular homology group Hn+1(X) to the Čech homology group Ȟn+1(X) is surjective. Consequently, if a compact metric space X is locally connected, then the canonical homomorphism from H1 (X) to Ȟ1 (X) is surjective.

AB - Let X be a locally n-connectcd compact metric space. Then, the canonical homomorphism from the singular homology group Hn+1(X) to the Čech homology group Ȟn+1(X) is surjective. Consequently, if a compact metric space X is locally connected, then the canonical homomorphism from H1 (X) to Ȟ1 (X) is surjective.

KW - Čech homology

KW - Canonical homomorphism

KW - Singular homology

KW - Surjectivc

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M3 - Article

AN - SCOPUS:27644597069

SN - 0002-9939

VL - 128

SP - 1487

EP - 1495

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

The subjectivity of the canonical homomorphism from singular homology to čech homology

Abstract

Keywords

ASJC Scopus subject areas

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