- Tytuł:
- Coherent and strong expansions of spaces coincide
- Autorzy:
- Mardešić, Sibe
- Powiązania:
- https://bibliotekanauki.pl/articles/1205303.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
coherent expansion
coherent homotopy
inverse system
strong expansion
strong shape - Opis:
- In the existing literature there are several constructions of the strong shape category of topological spaces. In the one due to Yu. T. Lisitsa and S. Mardešić [LM1-3] an essential role is played by coherent polyhedral (ANR) expansions of spaces. Such expansions always exist, because every space admits a polyhedral resolution, resolutions are strong expansions and strong expansions are always coherent. The purpose of this paper is to prove that conversely, every coherent polyhedral (ANR) expansion is a strong expansion. This result is obtained by showing that a mapping of a space into a system, which is coherently dominated by a strong expansion, is itself a strong expansion.
- Źródło:
-
Fundamenta Mathematicae; 1998, 158, 1; 69-80
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł