A new proof of the colored Kruskal—Katona theorem
نویسندگان
چکیده
منابع مشابه
A new proof for the Banach-Zarecki theorem: A light on integrability and continuity
To demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the Banach-Zareckitheorem is presented on the basis of the Radon-Nikodym theoremwhich emphasizes on measure-type properties of the Lebesgueintegral. The Banach-Zarecki theorem says that a real-valuedfunction $F$ is absolutely continuous on a finite closed intervalif and only if it is continuo...
متن کاملA Geometric Proof of the Colored Tverberg Theorem
The colored Tverberg theorem asserts that for every d and r there exists t = t(d, r) such that for every set C ⊂ R of cardinality (d + 1)t, partitioned into t-point subsets C1, C2, . . . , Cd+1 (which we think of as color classes; e.g., the points of C1 are red, the points of C2 blue, etc.), there exist r disjoint sets R1, R2, . . . , Rr ⊆ C that are rainbow, meaning that |Ri ∩ Cj| ≤ 1 for ever...
متن کاملA New Proof of the Transposition Theorem
In this note we obtain a formula for the number of orthants intersected by a subspace of R". Stiemke's theorem and ipso the above mentioned transposition theorem will be obtained as a direct consequence of the formula. We employ the following terminology. The hyperplanes Hu • • • , Hs of R" (s 2: n) are said to be in general position if the intersection of any re of them is 0. The ^-dimensional...
متن کاملA New Proof of the Takeuchi Theorem
In this paper, we present a short proof of the following theorem due to Takeuchi. Theorem A. (Takeuchi [Ta], [Su]) Let Ω be a pseudoconvex domain with C 2-smooth boundary in a Kähler manifold M 2n and r = d(x, bΩ). Suppose that the Kähler manifold M 2n has holomorphic bisectional curvature ≥ 1. Then the second fundamental form of bΩ (−t) satisfies: i∂ ¯ ∂(−r)(ζ, ¯ ζ) ≥ rζ 2 for all ζ ∈ T 1,0 x ...
متن کاملAnother proof of Banaschewski's surjection theorem
We present a new proof of Banaschewski's theorem stating that the completion lift of a uniform surjection is a surjection. The new procedure allows to extend the fact (and, similarly, the related theorem on closed uniform sublocales of complete uniform frames) to quasi-uniformities ("not necessarily symmetric uniformities"). Further, we show how a (regular) Cauchy point on a closed uniform subl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1994
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90266-6