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The elderly are not so old anymore.
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Answering a question raised by Glasner and Rudolph (1984) we construct uncountably many strictly ergodic topological systems which are metrically isomorphic to a given ergodic system (X,63, #, T) but not almost topologically conjugate to it.
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In this paper, (d + 1)-pencil lattices on simplicial partitions in Rd, which are not simply connected, are studied. It is shown, how the fact that a partition is not simply connected can be used to increase the flexibility of a lattice. A local modification algorithm is developed also to deal with slight partition topology changes that may appear afterwards a lattice has already been constructed.
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Power-associative antiflexible algebras have been studied by the author [3] and Kosier [2]. As a matter of terminology, we shall define an algebra as a finite dimensional vector space on which a multiplication is defined in which both distributive laws are satisfied. If A is an algebra over a field F of characteristic not two, then A has an attached algebra A + which is the same additive group ...
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In a recent preprint (see [C]), F. Calegari has shown that for l = 2, 3, 5 and 7 there exist 2-dimensional irreducible representations ρ of Gal(Q̄/Q) with values in Fl coming from the l-torsion points of an elliptic curve defined over Q, but not minimally, i.e., so that any elliptic curve giving rise to ρ has prime-to-l conductor greater than the (prime-to-l) conductor of ρ. In this brief note, ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2002
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm171-3-5