The fundamental groups of one-dimensional spaces
type: Item
instance of: scholarly article
title: The fundamental groups of one-dimensional spaces
zbMATH Open document ID: 0922.55008
DOI: 10.1016/S0166-8641(97)00167-3
author: Katsuya Eda
author: Kazuhiro Kawamura
published in: Topology and its Applications
publication date: 1999-10-08T00:00:00Z
review text: This paper deals with spaces which are not necessarily locally simply connected. For a one-dimensional compact Hausdorff space (such as the Sierpiński gasket), it is shown that the fundamental group embeds in the first Čech homotopy group. More generally, for any space of dimension at most one, the fundamental group embeds in the first Čech homotopy group based on finite open covers.
Mathematics Subject Classification ID: 55Q52
Mathematics Subject Classification ID: 55Q07
zbMATH DE Number: 1307955
zbMATH Keywords: fundamental group
zbMATH Keywords: Čech homotopy group
zbMATH Keywords: one-dimensional space
reviewed by: Richard John Steiner
MaRDI profile type: Publication
cites work: Q5532996
cites work: Free \(\sigma\)-products and fundamental groups of subspaces of the plane
cites work: The non-commutative Specker phenomenon
cites work: THE FIRST INTEGRAL SINGUAR HOMOLOGY GROUPS OF ONE POINT UNIONS
cites work: Free \(\sigma\)-products and noncommutatively slender groups
cites work: The surjectivity of the canonical homomorphism from singular homology to Cech homology
cites work: Q5813687
cites work: Q3994935
cites work: THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT
cites work: Infinite Products of Semi-Groups and Local Connectivity
cites work: A Van Kampen Theorem for Weak Joins
cites work: Q3959112
cites work: Q5522742
cites work: The Fundamental Group of One-Dimensional Spaces
cites work: Singular homology of one-dimensional spaces
description: scientific article; zbMATH DE number 1307955