The fundamental groups of one-dimensional spaces

Katsuya Eda; Kazuhiro Kawamura

The fundamental groups of one-dimensional spaces

Katsuya Eda^*, Kazuhiro Kawamura

^*Corresponding author for this work

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

40 Citations (Scopus)

Abstract

Let X be a space of dimension at most 1. Then, the fundamental group is isomorphic to a subgroup of the first Čech homotopy group based on finite open covers. Consequently, for a one-dimensional continuum X, the fundamental group is isomorphic to a subgroup of the first Čech homotopy group.

Original language	English
Pages (from-to)	163-172
Number of pages	10
Journal	Topology and its Applications
Volume	87
Issue number	3
Publication status	Published - 1998

Keywords

First Čech homotopy group
Fundamental group
One-dimensional

ASJC Scopus subject areas

Geometry and Topology

Cite this

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title = "The fundamental groups of one-dimensional spaces",

abstract = "Let X be a space of dimension at most 1. Then, the fundamental group is isomorphic to a subgroup of the first {\v C}ech homotopy group based on finite open covers. Consequently, for a one-dimensional continuum X, the fundamental group is isomorphic to a subgroup of the first {\v C}ech homotopy group.",

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author = "Katsuya Eda and Kazuhiro Kawamura",

year = "1998",

language = "English",

volume = "87",

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journal = "Topology and its Applications",

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T1 - The fundamental groups of one-dimensional spaces

AU - Eda, Katsuya

AU - Kawamura, Kazuhiro

PY - 1998

Y1 - 1998

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AB - Let X be a space of dimension at most 1. Then, the fundamental group is isomorphic to a subgroup of the first Čech homotopy group based on finite open covers. Consequently, for a one-dimensional continuum X, the fundamental group is isomorphic to a subgroup of the first Čech homotopy group.

KW - First Čech homotopy group

KW - Fundamental group

KW - One-dimensional

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M3 - Article

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EP - 172

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 3

ER -

The fundamental groups of one-dimensional spaces

Abstract

Keywords

ASJC Scopus subject areas

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