- Tytuł:
- On $\check{H}^n$-bubbles in n-dimensional compacta
- Autorzy:
-
Karimov, Umed
Repovš, Dušan - Powiązania:
- https://bibliotekanauki.pl/articles/1396055.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
locally connected spaces
low-dimensional compacta
Čech cohomology
bubble
slender group - Opis:
- A topological space X is called an $\check{H}^n$-bubble (n is a natural number, $\check{H}^n$ is Čech cohomology with integer coefficients) if its n-dimensional cohomology $\check{H}^n(X)$ is nontrivial and the n-dimensional cohomology of every proper subspace is trivial. The main results of our paper are: (1) Any compact metrizable $\check{H}^n$-bubble is locally connected; (2) There exists a 2-dimensional 2-acyclic compact metrizable ANR which does not contain any $\check{H}^2$-bubbles; and (3) Every n-acyclic finite-dimensional $L\check{H}^n$-trivial metrizable compactum contains an $\check{H}^n$-bubble.
- Źródło:
-
Colloquium Mathematicum; 1998, 75, 1; 39-51
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł