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Hyperspaces of Peano continua are Hubert cubes

D. Curtis, R. Schori (1978)

Fundamenta Mathematicae

Hyperspaces of Peano continua of euclidean spaces

Helma Gladdines, Jan van Mill (1993)

Fundamenta Mathematicae

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 $B^{\infty}$ , where B denotes the pseudo-boundary of the Hilbert cube Q.

Hyperspaces of polyhedra are Hilbert cubes

D. Curtis, R. Schori (1978)

Fundamenta Mathematicae

Hyperspaces of Proximity Spaces.

Louis J. Nachman (1968)

Mathematica Scandinavica

Hyperspaces of two-dimensional continua

Michael Levin, Yaki Sternfeld (1996)

Fundamenta Mathematicae

Let X be a compact metric space and let C(X) denote the space of subcontinua of X with the Hausdorff metric. It is proved that every two-dimensional continuum X contains, for every n ≥ 1, a one-dimensional subcontinuum $T_{n}$ with $d i m C (T_{n}) \geq n$ . This implies that X contains a compact one-dimensional subset T with dim C (T) = ∞.

Hyperspaces of universal curves and 2-cells are true $F_{σ δ}$ -sets

Paweł Krupski (2002)

Colloquium Mathematicae

It is shown that the following hyperspaces, endowed with the Hausdorff metric, are true absolute $F_{σ δ}$ -sets: (1) ℳ ²₁(X) of Sierpiński universal curves in a locally compact metric space X, provided ℳ ²₁(X) ≠ ∅ ; (2) ℳ ³₁(X) of Menger universal curves in a locally compact metric space X, provided ℳ ³₁(X) ≠ ∅ ; (3) 2-cells in the plane.

Hyperspaces of various locally connected ѕubcontinua

Paweł Krupski (1999)

Acta Universitatis Carolinae. Mathematica et Physica

Hyperspaces where convergence to a calm limit implies eventual shape equivalence

Laurence Boxer (1983)

Fundamenta Mathematicae

Displaying 21 – 28 of 28

Currently displaying 21 – 28 of 28