In this paper we study symplectic maps with a continuous symmetry group arising by periodic forcing of symmetric Hamiltonian systems. By Noether’s Theorem, for each continuous symmetry the symplectic map has a conserved momentum. We study the persistence of relative periodic points of the symplectic map when momentum is varied and also treat subharmonic persistence and relative subharmonic bifu...

It is well-known that every continuous map is the composite of a homotopy equivalence and a fibration. In this paper, we introduce the notion of uniform shape fibration, and show that every uniformly continuous map is the composite of a uniform shape equivalence and a uniform shape fibration.

 A topoframe, denoted by $L_{ tau}$,  is a pair $(L, tau)$ consisting of a frame $L$ and a subframe $ tau $ all of whose elements are complementary elements in $L$. In this paper, we define and study the notions of a $tau $-real-continuous function on a frame $L$ and the set of real continuous functions $mathcal{R}L_tau $ as an $f$-ring. We show that $mathcal{R}L_{ tau}$ is actually a generali...

We prove that Alexandrov spaces X of nonnegative curvature have Markov type 2 in the sense of Ball. As a corollary, any Lipschitz continuous map from a subset of X into a 2-uniformly convex Banach space is extended as a Lipschitz continuous map on the entire space X.

We give a complete and explicit characterization of the connected graphs which admit a continuous 3-to-1 map onto the circle, and of the connected graphs which admit a continuous 2-to-l map onto the circle. This generalizes earlier work of Heath and Hilton who considered the mappings of trees onto the circle.

Let M be a closed smooth manifold. We will denote the group of all selfdiffeomorphisms of M , with the smooth topology, by DIFF (M). By a smooth bundle over X, with fiber M , we mean a locally trivial bundle for which the change of coordinates between two local sections over, say, Uα, Uβ ⊂ X is given by a continuous map Uα ∩ Uβ → DIFF (M). A smooth bundle map between two such bundles over X is ...

BACKGROUND Although exercise training is known to promote post-exercise hypotension, there is currently no consistent argument about the effects of manipulating its various components (intensity, duration, rest periods, types of exercise, training methods) on the magnitude and duration of hypotensive response. OBJECTIVE To compare the effect of continuous and interval exercises on hypotensive...

conclusions in patients with severe preeclampsia undergoing cesarean delivery, a continuous iv infusion of nitroglycerine was able to attenuate the cardiovascular response to intubation to a greater extent than the use of sublingual nifedipine or iv hydralazine, without significant adverse effects on the newborn. results in contrast to those in group nif and group h, the patients in group ntg s...

We investigate the representation of functions on streams in some denotational domains. As expected, a total continuous stream function can always be represented by a Scott-continuous function, and moreover by a strongly stable map in the corresponding Hypercoherence. It seems however difficult to represent an arbitrary stream function by a monotone map on Scott domains such that the stream fun...

let (x, d) be a compact metric space and f : x → x be a continuous map. consider the metric space (k(x),h) of all non empty compact subsets of x endowed with the hausdorff metric induced by d. let ¯ f : k(x) → k(x) be defined by ¯ f(a) = {f(a) : a ∈ a} . we show that block-coppels chaos in f implies block-coppels chaos in ¯ f if f is a bijection.