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Menger curves in Peano continua

100%

Krupski P., Patkowska H.

Colloquium Mathematicum

1996

tom 70

nr 1

79-86

On the homology of the Harmonic Archipelago

75%

Karimov U., Repovš D.

Open Mathematics

2012

tom 10

nr 3

863-872

We calculate the singular homology and Čech cohomology groups of the Harmonic Archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths space. This is interesting in view of Eda’s proof that the first singular homology groups of these spaces are isomorphic.

Hyperspaces of Peano continua of euclidean spaces

63%

Gladdines H., van Mill J.

Fundamenta Mathematicae

1993

tom 142

nr 2

173-188

If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space $L(ℝ^n)$ is homeomorphic to $B^∞$, where B denotes the pseudo-boundary of the Hilbert cube Q.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

1 Open Mathematics

1 Gladdines H.

1 Karimov U.

1 Krupski P.

1 Patkowska H.

1 Repovš D.

1 van Mill J.

1 2012

1 1996

1 1993

Wyniki wyszukiwania

Menger curves in Peano continua

On the homology of the Harmonic Archipelago

Hyperspaces of Peano continua of euclidean spaces