coarser topology

  • 11Comparison of topologies — In topology and related areas of mathematics comparison of topologies refers to the fact that two topological structures on a given set may stand in relation to each other. The set of all possible topologies on a given set forms a partially… …

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  • 12Uniform space — In the mathematical field of topology, a uniform space is a set with a uniform structure. Uniform spaces are topological spaces with additional structure which is used to define uniform properties such as completeness, uniform continuity and… …

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  • 13Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …

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  • 14Order theory — For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… …

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  • 15Specialization (pre)order — In the branch of mathematics known as topology, the specialization (or canonical) preorder is a natural preorder on the set of the points of a topological space. For most spaces that are considered in practice, namely for all those that satisfy… …

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  • 16Tychonoff space — Separation Axioms in Topological Spaces Kolmogorov (T0) version T0 | T1 | T2 | T2½ | completely T2 T3 | T3½ | T4 | T5 | T6 In topology and related branches of mathematic …

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  • 17Uniformizable space — In mathematics, a topological space X is uniformizable if there exists a uniform structure on X which induces the topology of X . Equivalently, X is uniformizable if and only if it is homeomorphic to a uniform space (equipped with the topology… …

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  • 18Cobordism — A cobordism (W;M,N). In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold. Two manifolds are cobordant if their disjoint… …

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  • 19Monitoring and Measurement in the Next Generation Technologies — (MOMENT) is a project aimed at integrating different platforms for network monitoring and measurement to develop a common and open pan European infrastructure. The system will include both passive and active monitoring and measurement techniques… …

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  • 20Coarse space (numerical analysis) — This article deals with a component of numerical methods. For coarse space in topology, see coarse structure. In numerical analysis, coarse problem is an auxiliary system of equations used in an iterative method for the solution of a given larger …

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