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By Theorem 2.4, for the class of strongly fibred spaces, shape and strong shape equivalences coincide, so that, in such a case homotopy orthogonality implies enriched
The Fano index of a smooth Fano variety X is the maximal integer q( X ) that divides the anti-canonical class in the Picard group Pic( X ) [IP99].. In this paper we
It is clear that Theorem 3 does not hold for all positive integer-valued mul- tiplicative functions, but a very general result of Ruzsa [19, Theorem (1.4)] implies that for any
Theorem 1 implies that every solution of (1) with one zero is oscilla- tory to the right of this zero and the properties of solutions y without zeros follow from Theorem 2 and
Namely, in connection with a theorem of Goldstern [4] concerning certain uncountable intersections of coanalytic sets with the full probability measure, we show that an analogous
In particular, we obtain an algebraic estimate for the index of a quasi-homogeneous vector field (Theorem 1) in terms of analogues of the so-called Petrovsky numbers [1].. This
In this note, we obtain a new multiplicative perturbation theorem for local C - regularized cosine function with a nondensely defined generator A.. An application to
In Section 2, we present the basic stochastic model. In Section 3, we define an index and a market based on this model and in Section 4, we introduce a payment process and an
