Some remarks concerning the fundamental dimension of the cartesian product of two compacta
Sławomir Nowak (1979)
Fundamenta Mathematicae
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Displaying similar documents to “Algebraic theory of fundamental dimension”
Some remarks concerning the fundamental dimension of the cartesian product of two compacta
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Sławomir Nowak (1975)
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On the fundamental dimension of the Cartesian product of compacta with the fundamental dimension 2
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The dimension of hyperspaces of non-metrizable continua
Wojciech Stadnicki (2012)
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We prove that, for any Hausdorff continuum X, if dim X ≥ 2 then the hyperspace C(X) of subcontinua of X is not a C-space; if dim X = 1 and X is hereditarily indecomposable then either dim C(X) = 2 or C(X) is not a C-space. This generalizes some results known for metric continua.
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Andrzej Szymański (1974)
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On pointed 1-movability and related notions
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Some properties of fundamental dimension
Sławomir Nowak (1974)
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An n-dimensional compactum which remains n-dimensional after removing all Cantor n-manifolds
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W. Kulpa (1972)
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Inductive dimensions modulo simplicial complexes and ANR-compacta
V. V. Fedorchuk (2010)
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We introduce and investigate inductive dimensions 𝒦 -Ind and ℒ-Ind for classes 𝒦 of finite simplicial complexes and classes ℒ of ANR-compacta (if 𝒦 consists of the 0-sphere only, then the 𝒦 -Ind dimension is identical with the classical large inductive dimension Ind). We compare K-Ind to K-Ind introduced by the author [Mat. Vesnik 61 (2009)]. In particular, for every complex K such that K * K is non-contractible, we construct a compact Hausdorff space X with K-Ind X not equal to...