EUDML | Remarks on the n-dimensional geometric measure of compacta

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Displaying similar documents to “Remarks on the n-dimensional geometric measure of compacta”

Imbeddings in $R^{2 m}$ of m-dimensional compacta with dim(Х×Х)<2m

Stanisław Spież (1990)

Fundamenta Mathematicae

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An n-dimensional compactum which remains n-dimensional after removing all Cantor n-manifolds

Roman Pol (1990)

Fundamenta Mathematicae

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Classification of weakly infinite-dimensional spaces. Part II: Essential mappings

Piet Borst (1988)

Fundamenta Mathematicae

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On decomposition of polyhedra into a Cartesian product of 1-dimensional and 2-dimensional factors

Witold Rosicki (1997)

Colloquium Mathematicae

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Intersections of separators and essential submanifolds of $I^{N}$

Darryl McCullough, Leonard Rubin (1983)

Fundamenta Mathematicae

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Some properties of fundamental dimension

Sławomir Nowak (1974)

Fundamenta Mathematicae

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Finite-to-one restrictions of continuous functions

H. Toruńczyk (1985)

Fundamenta Mathematicae

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On weakly infinite-dimensional subspuees

P. Borst (1992)

Fundamenta Mathematicae

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We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and $d i m Y = ω_{0}$ and $d i m X = ω_{0} + 1$ . Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.

Shapes of finite-dimensional compacta

T. Chapman (1972)

Fundamenta Mathematicae

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Hyperspaces of CW-complexes

Bao-Lin Guo, Katsuro Sakai (1993)

Fundamenta Mathematicae

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It is shown that the hyperspace of a connected CW-complex is an absolute retract for stratifiable spaces, where the hyperspace is the space of non-empty compact (connected) sets with the Vietoris topology.