In point-set topology, an indecomposable continuum is a continuum that is indecomposable, i.e. that cannot be expressed as the union of any two of its...
8 KB (1,145 words) - 21:56, 26 September 2024
mathematics: Indecomposable module, in algebra Indecomposable distribution, in probability Indecomposable continuum, in topology Indecomposability (intuitionistic...
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that h(x) = y. A Peano continuum is a continuum that is locally connected at each point. An indecomposable continuum is a continuum that cannot be represented...
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in 1922 of the hereditarily indecomposable continuum or pseudo-arc and of the Knaster continuum, or buckethandle continuum. Together with his teacher Hugo...
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(1910) of an indecomposable continuum, and in fact it is possible for the common boundary of the three sets to be an indecomposable continuum. The Lakes...
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Pseudo-arc (category Continuum theory)
simplest nondegenerate hereditarily indecomposable continuum. The pseudo-arc is an arc-like homogeneous continuum, and played a central role in the classification...
9 KB (1,347 words) - 01:09, 6 May 2024
of definition of functions". Brouwer's intuitionistic treatment of the continuum, with an extended commentary. 1927. David Hilbert: "The foundations of...
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measure Helmholtz decomposition, decomposition of a vector field Indecomposable continuum Lebesgue's decomposition theorem, decomposition of a measure Lie...
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this product. It is an example of a protorus, a solenoid, and an indecomposable continuum. Because they are a dense subset of the real numbers, the dyadic...
35 KB (3,883 words) - 03:11, 6 January 2024
Solenoid (mathematics) (category Continuum theory)
Euclidean space R3. A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of an abelian compact topological group...
10 KB (1,490 words) - 21:35, 14 February 2024