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Supported approach spaces

Quaestiones Mathematicae, 2023
In this paper we work in the category of approach spaces with contractions [14], the objects of which are sets endowed with a numerical distance between sets and points. Approach spaces are to be considered a simultaneous generalization of both quasi-metric and  topological spaces.
Colebunders, E., Lowen, R.
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On Convergence Approach Spaces

Applied Categorical Structures, 1998
This paper deals with generalizations of two well-known concepts; namely, axioms \(F\) and \(R\). In the category Lim of limit spaces the axioms \(F\) and \(R\) are dual and a limit space satisfies \(F(R)\) if and only if it is topological (resp. regular).
Brock, Paul, Kent, Darrell
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Convergence Approach Spaces : Actions

Applied Categorical Structures, 2015
A convergence approach space is a pair \((X, \lambda)\), where \(\lambda\) is a map from the set of filters on \(X\) to \([0, \infty]^X\) with the following properties: 1. \(\lambda(\dot{x})(x)=0\), 2. \(\mathcal{F}\subseteq \mathcal{G}\Rightarrow \lambda(\mathcal{G})\leq \lambda(\mathcal{F})\), 3.
Colebunders, E.   +3 more
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Approach Spaces, Limit Tower Spaces, and Probabilistic Convergence Spaces

Applied Categorical Structures, 1997
It is shown that the category CAP of convergence approach spaces is isomorphic to the category LTS of limit tower spaces. CAP has, as objects, pairs \((X,\lambda)\), where \(X\) is a set and \(\lambda:F(X)=\) (the set of filters on \(X)\to[0, \infty]^X\) satisfies (1) \(\lambda(\dot x)(x)=0\), where \(\dot x\) is the filter generated by \(\{x\}\), and ...
Brock, Paul, Kent, D. C.
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Approach Spaces

1997
Abstract In this chapter we introduce the basic structures which determine what we will call an approach space. One of the powerful features of approach spaces is that they can be determined by conceptually very different but nevertheless equivalent structures.
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State Space Approach

1997
The methods based on transfer functions are often referred to as Classical Methods; they are quite sufficient for the design of single-input single-output (SISO) control systems, but they become difficult to apply to multi-input multi-output (MIMO) systems.
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Kleisli Monoids Describing Approach Spaces

Applied Categorical Structures, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Colebunders, Eva, Van Opdenbosch, Karen
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Approaching Branded Spaces

2013
Why is it worth studying branded spaces now? First of all, as brands and branding are radically transforming, brand owners have begun to perceive the relevance and booster qualities of space for branding brands. In a global and fast changing world, branded spaces are becoming icons, cornerstones or lighthouses for brands, for their image and for their ...
Stephan Sonnenburg, Laura Baker
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The Final Approach Spacing Tool

IFAC Proceedings Volumes, 1994
A system for assisting terminal area air traffic controllers in the management and control of arrival traffic, referred to as the Final Approach Spacing Tool (FAST), is being developed at NASA Ames Research Center. In a cooperative program. NASA and the FAA have efforts underway to install and evaluate the system at the Dallas/Fort Worth Terminal Radar
T.J. DAVIS, K.J. KRZECZOWSKI, C. BERGH
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