منابع مشابه
Whitney blocks in the hyperspace of a finite graph
Let X be a finite graph. Let C(X) be the hyperspace of all nonempty subcontinua of X and let μ : C(X) → R be a Whitney map. We prove that there exist numbers 0 < T0 < T1 < T2 < · · · < TM = μ(X) such that if T ∈ (Ti−1, Ti), then the Whitney block μ(Ti−1, Ti) is homeomorphic to the product μ(T )× (Ti−1, Ti). We also show that there exists only a finite number of topologically different Whitney l...
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Using a combinatorial approach, we introduce the translated Whitney numbers. This seems to be more natural than to write a product of anarithmetical progression in terms of a power variable and conversely. We also extend our ideas to translated r-Whitney numbers of both kinds and to translated Whitney-Lah numbers.
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A canonically defined mod 2 linear dependency current is associated to each collection v of sections, Vl, . . . , Vm, of a real rank n vector bundle. This current is supported on the linear dependency set of v. It is defined whenever the collection v satisfies a weak measure theoretic condition called "atomicity." Essentially any reasonable collection of sections satisfies this condition, vastl...
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We introduce a natural partial order ≤ in structurally natural finite subsets the cobweb prefabs sets recently constructed by the present author. Whitney numbers of the second kind of the corresponding subposet which constitute Stirling-like numbers' triangular array-are then calculated and the explicit formula for them is provided. Next-in the second construction-we endow the set sums of prefa...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2017
ISSN: 0166-8641
DOI: 10.1016/j.topol.2017.02.020