Einige Aufgaben aus der Combinationslehre. (Fortsetzung der Abhandlung im 34ten Bande).
Einige Aufgaben aus der Lehre von den wiederkehrenden Reihen.
Ein neues Analogen zum Satze von Desargues in Räumen von gerader Dimension
Die Koppelkurve als Laguerresches Bild einer Hesseschen Korrespondenz
Oktaven, Engelscher Komplex, Trialitätsprinzip. Herrn A. Buhl zum 60. Geburtstag
Suites de points en correspondance trilinéaire
On the Uniqueness of the Topological Degree.
Group representations and integrality.
Capitulation and transfer kernels
If is a finite Galois extension of number fields with Galois group , then the kernel of the capitulation map of ideal class groups is isomorphic to the kernel of the transfer map where and is the Hilbert class field of . H. Suzuki proved that when is abelian, divides . We call a finite abelian group a transfer kernel for if for some group extension . After characterizing transfer kernels in terms of integral representations of , we show that is a transfer kernel for...
On the convergence and character spectra of compact spaces
An infinite set A in a space X converges to a point p (denoted by A → p) if for every neighbourhood U of p we have |A∖U| < |A|. We call cS(p,X) = |A|: A ⊂ X and A → p the convergence spectrum of p in X and cS(X) = ⋃cS(x,X): x ∈ X the convergence spectrum of X. The character spectrum of a point p ∈ X is χS(p,X) = χ(p,Y): p is non-isolated in Y ⊂ X, and χS(X) = ⋃χS(x,X): x ∈ X is the character spectrum of X. If κ ∈ χS(p,X) for a compactum X then κ,cf(κ) ⊂ cS(p,X). A selection of our results (X...
Universal functions
A function of two variables F(x,y) is universal if for every function G(x,y) there exist functions h(x) and k(y) such that G(x,y) = F(h(x),k(y)) for all x,y. Sierpiński showed that assuming the Continuum Hypothesis there exists a Borel function F(x,y) which is universal. Assuming Martin's Axiom there is a universal function of Baire class 2. A universal function cannot be of Baire class 1. Here we show that it is consistent that for each α with 2 ≤ α < ω₁ there...
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