The Theory of Screws, a study in the Dynamics of a rigid body. (Auszug aus einem grösseren Werke)
On ovoids of .
Poisson thinning by monotone factors.
The plank problem for symmetric bodies.
The Reverse Isoperimetric Problem for Gaussian Measure.
Mahler's Conjecture and Wavelets.
Markov Chains, Riesz Transforms and Lipschitz Maps.
Proper shape retracts
Logarithmically concave functions and sections of convex sets in
On sets of vectors of a finite vector space in which every subset of basis size is a basis
It is shown that the maximum size of a set of vectors of a -dimensional vector space over , with the property that every subset of size is a basis, is at most , if , and at most , if , where and is prime. Moreover, for , the sets of maximum size are classified, generalising Beniamino Segre’s “arc is a conic” theorem. These results have various implications. One such implication is that a matrix, with and entries from , has columns which are linearly dependent. Another is...
Mathematical Recreations and Problems of Past and Present Times
A short account of the history of mathematics
Shapes of saturated subsets of compacta
Structural aspects of truncated archimedean vector lattices: good sequences, simple elements
The truncation operation facilitates the articulation and analysis of several aspects of the structure of archimedean vector lattices; we investigate two such aspects in this article. We refer to archimedean vector lattices equipped with a truncation as truncs. In the first part of the article we review the basic definitions, state the (pointed) Yosida representation theorem for truncs, and then prove a representation theorem which subsumes and extends the (pointfree) Madden representation theorem....
C- and C*-quotients in pointfree topology
We generalize a major portion of the classical theory of C- and C*-embedded subspaces to pointfree topology, where the corresponding notions are frame C- and C*-quotients. The central results characterize these quotients and generalize Urysohn's Extension Theorem, among others. The proofs require calculations in CL, the archimedean f-ring of frame maps from the topology of the reals into the frame L. We give a number of applications of the central results.
A Numerical Method for Detecting Singular Minimizers.
Spaces of ANR's
A theory of proper shape for locally compact metric spaces
Spaces of ANR's. II
Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in .
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