Cohomotopical admissibility and inverse limits

• Autorzy: Dymek G. , Prusiński A.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to prove that if X = [formula] and all spaces X_α are n-cohomotopically admissible compacta then X is n-cohomotopically admissible i.e. n-cohomotopical admissibility is a continuous property under inverse limits. The idea of this proof is taken from [2]. Readers should be familiar with [2] and Section 2 of [3].

Słowa kluczowe

EN

cohomotopy group; homotopy; inverse limits; n-cohomotopical admissibility

PL

granica odwrotna systemu odwrotnego; grupa homotopii; homotopia

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2002
• Tom: Vol. 50, no 3
• Strony: 267--271
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Dymek G.

• University of Podlasie, Institute of Mathematics and Phisics, 3-Maja 54, 08-110 Siedlce, Poland

autor

Prusiński A.

• University of Podlasie, Institute of Mathematics and Phisics, 3-Maja 54, 08-110 Siedlce, Poland

Bibliografia

• [1] S. Eilenberg, N. Steenrod, Fundations of algebraic topology, Princeton, New Jersey 1952.
• [2] S. Godlewski, Some remarks concerning the mappings of the inverse limit into an absolute neighbourhood retract and its applications to cohomotopy groups, Fund. Math., 63 (1968) 89-95.
• [3] S. Godlewski, Cohomotopy groups and shape in the sense of Mardešić, Bull. Acad. Pol. Sci., Sér. mat., 21 (1973) 711-718.
• [4] E. Spanier, Borsuk’s cohomotopy groups, Annals of Math., 50 (1949) 203-245.
• [5] A. Tychonoff, Über die topologische Erweiterung von Räumen, Math. Ann., 102 (1930) 544-561.