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A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś

100%

O'Neill J. D.

Colloquium Mathematicum

1996

tom 70

nr 2

191-194

On $\check{H}^n$-bubbles in n-dimensional compacta

100%

Karimov U. H., Repovš D.

Colloquium Mathematicum

1998

tom 75

nr 1

39-51

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.

Ograniczanie wyników

2 Colloquium Mathematicum

1 Karimov U. H.

1 O'Neill J. D.

1 Repovš D.

1 1998

1 1996

Wyniki wyszukiwania

A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś

On $\check{H}^n$-bubbles in n-dimensional compacta