Let M $M$ be a hyperbolic 3-manifold with no rank two cusps admitting an embedding in S 3 $\mathbb {S}^3$ . Then, if admits exhaustion by π 1 $\pi _1$ -injective sub-manifolds there exists Cantor sets C n ⊆ $C_n\subseteq \mathbb such that N = ∖ $N_n=\mathbb {S}^3\setminus C_n$ is and → $N_n\rightarrow M$ geometrically.

We show that the family of the Smale-Williams solenoid attractors parameterized by its contraction rate can be characterized as a solution of a differential equation. The exact formula describing the attractor can be obtained by solving the differential equation subject to an explicitly given initial condition. Using the formula, we present a simple and explicit proof that the dynamics on the s...

In this paper, we introduce a new sequential space as generalization of M − metricspaces and b metric spaces. generalized define two contractive mappings namely m contraction quasi-contraction prove some fixed point theorems for such type mappings. Several illustrative examples have been presented in strengthening the hypothesis our theorems.

The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a Hamiltonian system. The abstract moment map is defined from G-manifold M to dual Lie algebra of G. We will interested study maps from G-manifold M to spaces that are more general than dual Lie algebra of G. These maps help us to reduce the dimension of a manifold much more.

We have used Sutter's (1987) spatiotemporal m-sequence method to map the receptive fields of neurons in the visual system of the cat. The stimulus consisted of a grid of 16 x 16 square regions, each of which was modulated in time by a pseudorandom binary signal, known as an m-sequence. Several strategies for displaying the m-sequence stimulus are presented. The results of the method are illustr...

M(3) muscarinic receptors mediate cholinergic-induced contraction in most smooth muscles. However, in the denervated rat bladder, M(2) receptors participate in contraction because M(3)-selective antagonists [para-fluoro-hexahydro-sila-diphenidol (p-F-HHSiD) and 4-DAMP] have low affinities. However, the affinity of the M(2)-selective antagonist methoctramine in the denervated bladder is consiste...