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We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.. We
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We present sufficient conditions for the existence of solutions to Neu- mann and periodic boundary-value problems for some class of quasilinear ordinary differential equations.. We
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
Definition An embeddable tiled surface is a tiled surface which is actually achieved as the graph of singular leaves of some embedded orientable surface with closed braid
In this paper we focus on the relation existing between a (singular) projective hypersurface and the 0-th local cohomology of its jacobian ring.. Most of the results we will present
discrete ill-posed problems, Krylov projection methods, Tikhonov regularization, Lanczos bidiago- nalization, nonsymmetric Lanczos process, Arnoldi algorithm, discrepancy
In our case, manifold may be regarded as a homogeneous space of “the group” of all transformations, and the category of invariant sheaves is regarded as an equivariant sheaf