Homotopy dominations within polyhedra

• Autorzy: Danuta Kołodziejczyk
• Języki publikacji: EN

Abstrakty

EN

We show the existence of a finite polyhedron P dominating infinitely many different homotopy types of finite polyhedra and such that there is a bound on the lengths of all strictly descending sequences of homotopy types dominated by P. This answers a question of K. Borsuk (1979) dealing with shape-theoretic notions of "capacity" and "depth" of compact metric spaces. Moreover, π₁(P) may be any given non-abelian poly-ℤ-group and dim P may be any given integer n ≥ 3.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 178
• Numer: 3
• Strony: 189-202

Daty

wydano

2003

Twórcy

autor

Danuta Kołodziejczyk

• Faculty of Mathematics and Informational Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm178-3-1