On the shape asphericity of compacta

• Autorzy: Yokoi K.
• Języki publikacji: EN

Abstrakty

EN

Dydak and the autor [1] introduced the notion of shape aspherical compacta: a compactum X is shape aspherical if any map f : X --> P from X to a polyhedron P factors up to homotopy as f[...] hog, where g : X --> K, h : K --> P and K is an aspherical CW-complex (i.e., K is a K (G,1)), and modified some results known to be true for the class of strongly hereditarily aspherical compacta, which is introduced by Daverman [2]. In this paper, we shall investigate fundamental properties of the (shape) asphericity.

Słowa kluczowe

EN

aspherical; pro-groups; shape aspherical

PL

kształt niesferyczny; niesferyczność; topologia algebraiczna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 3
• Strony: 249--264
• Opis fizyczny: Bibliogr. 19 poz.,

Twórcy

autor

Yokoi K.