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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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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, 1998This 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, 2015A 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, 1997It 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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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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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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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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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, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Colebunders, Eva, Van Opdenbosch, Karen
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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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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, 1994A 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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