Homotopy types of one-dimensional Peano continua

• Autorzy: Katsuya Eda
• Języki publikacji: EN

Abstrakty

EN

Let X and Y be one-dimensional Peano continua. If the fundamental groups of X and Y are isomorphic, then X and Y are homotopy equivalent. Every homomorphism from the fundamental group of X to that of Y is a composition of a homomorphism induced from a continuous map and a base point change isomorphism.

Kategorie tematyczne

• 55Q20: Homotopy groups of wedges, joins, and simple spaces
• 55Q70: Homotopy groups of special types
• 54E45: Compact (locally compact) metric spaces
• 55P15: Classification of homotopy type
• 20F34: Fundamental groups and their automorphisms
• 55P10: Homotopy equivalences

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 209
• Numer: 1
• Strony: 27-42

Daty

wydano

2010

Twórcy

autor

Katsuya Eda

• School of Science and Engineering, Waseda University, Tokyo 169-8555, Japan

Identyfikatory

DOI

10.4064/fm209-1-3