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compact metric

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  • Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …   Wikipedia

  • Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …   Wikipedia

  • Metric space aimed at its subspace — In mathematics, a metric space aimed at its subspace is a categorical construction that has a direct geometric meaning. It is also a useful step toward the construction of the metric envelope, or tight span, which are basic (injective) objects of …   Wikipedia

  • compact — COMPÁCT, Ă, compacţi, te, adj. 1. Care se compune din particule strâns legate între ele; îndesat, dens. ♢ Caractere compacte = litere de tipar groase şi negre; aldine. ♦ (Despre o mulţime, un grup de oameni etc.) Numeros şi des. 2. fig. (Despre… …   Dicționar Român

  • Compact-open topology — In mathematics, the compact open topology is a topology defined on the set of continuous maps between two topological spaces. The compact open topology is one of the commonly used topologies on function spaces, and is applied in homotopy theory… …   Wikipedia

  • Compact fluorescent lamp — Low energy light bulb redirects here. For other low energy bulbs, see LED lamp. The tubular type compact fluorescent lamp is one of the most popular types in Europe …   Wikipedia

  • Metric yardstick — This article gives some rough rules of thumb for comprehending the metric system in terms of everyday life.Conversion hintsFor users of the U.S. Customary system (often referred to as the English system although the UK is now metric) there are a… …   Wikipedia

  • Compact convergence — In mathematics compact convergence (or uniform convergence on compact sets) is a type of convergence which generalizes the idea of uniform convergence. It is associated with the compact open topology. Contents 1 Definition 2 Examples 3 Properties …   Wikipedia

  • compact — I. adjective Etymology: Middle English, firmly put together, from Latin compactus, from past participle of compingere to put together, from com + pangere to fasten more at pact Date: 14th century 1. predominantly formed or filled ; composed, made …   New Collegiate Dictionary

  • Complete metric space — Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… …   Wikipedia

  • Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… …   Wikipedia

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