Polyhedra with finite fundamental group dominate finitely many different homotopy types

• Autorzy: Danuta Kołodziejczyk
• Języki publikacji: EN

Abstrakty

EN

In 1968 K. Borsuk asked: Does every polyhedron dominate only finitely many different shapes? In this question the notion of shape can be replaced by the notion of homotopy type. We showed earlier that the answer to the Borsuk question is no. However, in a previous paper we proved that every simply connected polyhedron dominates only finitely many different homotopy types (equivalently, shapes). Here we prove that the same is true for polyhedra with finite fundamental group.

Kategorie tematyczne

• 55P55: Shape theory
• 55P15: Classification of homotopy type

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 180
• Numer: 1
• Strony: 1-9

Daty

wydano

2003

Twórcy

autor

Danuta Kołodziejczyk

• Faculty of Mathematics and Informational Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm180-1-1