Let Pk(n, p × q) be the set of all pairs of real polynomial map germs (f, g): (ℝn; 0) → (ℝp × ℝq; 0) with degree of f1, . . ., fp, g1, . . ., gq less than or equal to k 2 N. The main result of this paper shows that the set ...

We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...

Let f, g: M(ϕ1) → M(ϕ2) be fibre-preserving maps over the circle, S1, where M(ϕ1) and M(ϕ2) are fibre bundles over S1 and the fibre is the torus, T. The main purpose of this work is to classify the pairs of maps (f, g) ...

A pair of infinitesimally close opposite vortices moving on a curved surface moves along a geodesic, according to a conjecture by Kimura. We outline a proof. Numerical simulations are presented for a pair of opposite ...

In this thesis, we study three important topics. The first one provides an axiomatic framework to differential cohomology on maps of pairs of topological spaces, introducing the product between relative and parallel classes. ...

Bacterial artificial chromosomes (BAC) have been widely used for fluorescence in situ hybridization (FISH) mapping of chromosome landmarks in different organisms, including a few in teleosts. In this study, we used BAC-FISH ...

Following ideas of Dugundji and Granas, some general results are established on the existence of fixed and coincidence points for a pair of maps on metric spaces. Conditions on the continuity or the commutativity of the ...

In Alzheimer's disease, the most characteristic neuropathological changes are the formation of neurofibrillary tangles (NFT) and neuritic plaques (NP) characterized by the presence of bundles of paired helical filaments ...

The authors study the coincidence theory for pairs of maps from the Torus to the Klein bottle. Reidemeister classes and the Nielsen number are computed, and it is shown that any given pair of maps satisfies the Wecken ...