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Maps with Discrete Fibers and the Origin of Basepoints

Applied Categorical Structures, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discrete Sets and Discrete Maps

Canadian Mathematical Bulletin, 1982
AbstractA subset of a topological space is called discrete iff every point in the space has a neighborhood which meets the set in at most one point. Discrete sets are useful for decomposing the images of certain maps and for generalizing closed maps. All discrete sets are closed iff the space is T1.
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Discrete Maps and Movability

Acta Mathematica Hungarica, 1997
The aim of this paper is to show that internally movable compacta and movable compacta have characteristic extension properties of homotopic nature for maps defined on dense subsets. We show that a compact metric space is internally movable if and only if every finite map with small oscillation defined in a dense subset of a metric space is homotopic ...
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Discrete tensorial quasi-harmonic maps

International Conference on Shape Modeling and Applications 2005 (SMI' 05), 2006
We introduce new linear operators for surface parameterization. Given an initial mapping from the parametric plane onto a surface mesh, we establish a secondary map from the plane onto itself that mimics the initial one. The resulting low-distortion parameterization is smooth as it stems from solving a quasi-harmonic equation.
Zayer, R.   +2 more
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Discretization of circle maps

Zeitschrift für angewandte Mathematik und Physik, 1998
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Nicolaisen, Nils, Werner, Bodo
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Discrete quasiconformal mappings

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1978
Some basic properties of quasiconformal mappings are reviewed which leads to the development of discrete analogs of quasiconformal mappings of a multiply connected domain onto a rectangular domain with slits. These discrete mappings can be constructed by solving a system of equations.
Mastin, C. Wayne, Thompson, Joe F.
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COARSE-GRAINED OBSERVATION OF DISCRETIZED MAPS

International Journal of Bifurcation and Chaos, 2005
We investigate why discretized versions fN of one-dimensional ergodic maps f : I → I behave in many ways similarly to their continuous counterparts. We propose to register observations of the N × N discretization fN on a coarse M × M grid, with N = cM, c being an integer. We prove that rounding errors behave like uniformly distributed random variables,
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Heterogeneous versus discrete mapping problem

Physical Review E, 2001
We propose a method for mapping a spatially discrete problem, stemming from the spatial discretization of a parabolic or hyperbolic partial differential equation of gradient type, to a heterogeneous one with certain comparable dynamical features pertaining, in particular, to coherent structures. We focus the analysis on a (1+1)-dimensional phi(4) model
P G, Kevrekidis, I G, Kevrekidis
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A Discrete Model of Maps

2016
In the previous chapters, we focused on a mathematical model of maps based on mappings of infinite point sets, denoted the abstract model of maps. The abstract model is not suitable for direct implementation because of its reliance on mathematical concepts, such as infinite point sets. In this chapter, we develop a discrete model of maps based on graph
Mark McKenney, Markus Schneider
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Fractional discrete-time chaotic map

2006 IEEE International Symposium on Circuits and Systems, 2006
Based upon discrete-time chaotic map and fractional delay of discrete-time signal, a new concept named fractional discrete-time chaotic map is introduced in this paper. Moreover, the ideal iterative function is changed into an approximate and realizable expression. As being evidence, fractional logistic discrete-time chaotic map is implemented, and its
Hui Zhao, Hon Keung Kwan, Jubang Yu
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