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Since locally closed functions with all point inverses closed have closed graphs [2], (c) implies
In [1, 2, 17], following the same strategy of [12], the authors showed a direct Carleman estimate for the backward adjoint system of the population model (1.1) and deduced its
The idea is that this series can now be used to define the exponential of large classes of mathematical objects: complex numbers, matrices, power series, operators?. For the
In the latter half of the section and in the Appendix 3, we prove stronger results on elliptic eta-products: 1) an elliptic eta-product η (R,G) is holomorphic (resp. cuspidal) if
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
In this paper we show how to obtain a result closely analogous to the McAlister theorem for a certain class of inverse semigroups with zero, based on the idea of a Brandt
In particular, we find that, asymptotically, the expected number of blocks of size t of a k-divisible non-crossing partition of nk elements chosen uniformly at random is (k+1)
In particular, if (S, p) is a normal singularity of surface whose boundary is a rational homology sphere and if F : (S, p) → (C, 0) is any analytic germ, then the Nielsen graph of