weaker topology

  • 41Mereotopology — In formal ontology, a branch of metaphysics, and in ontological computer science, mereotopology is a first order theory, embodying mereological and topological concepts, of the relations among wholes, parts, parts of parts, and the boundaries… …

    Wikipedia

  • 42Normed vector space — In mathematics, with 2 or 3 dimensional vectors with real valued entries, the idea of the length of a vector is intuitive and can easily be extended to any real vector space Rn. The following properties of vector length are crucial. 1. The zero… …

    Wikipedia

  • 43Topological property — In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space …

    Wikipedia

  • 44Convergence in measure — can refer to two distinct mathematical concepts which both generalize the concept of convergence in probability. Contents 1 Definitions 2 Properties 3 Counterexamples 4 Topology …

    Wikipedia

  • 45river — river1 riverless, adj. riverlike, adj. /riv euhr/, n. 1. a natural stream of water of fairly large size flowing in a definite course or channel or series of diverging and converging channels. 2. a similar stream of something other than water: a… …

    Universalium

  • 46Indefinite inner product space — In mathematics, in the field of functional analysis, an indefinite inner product space :(K, langle cdot,,cdot angle, J) is an infinite dimensional complex vector space K equipped with both an indefinite inner product :langle cdot,,cdot angle and… …

    Wikipedia

  • 47Completely uniformizable space — In mathematics, a topological space (X, T) is called completely uniformizable (or Dieudonné complete or topologically complete) if there exists at least one complete uniformity that induces the topology T. Some authors additionally require X to… …

    Wikipedia

  • 48Matthias Kreck — in Oberwolfach (2000) Matthias Kreck (* 22 July 1947 in Dillenburg) is a German mathematician who works in the areas of Algebraic Topology and Differential topology. From October 2006 to September 2011 he was the director of the Hausdorff… …

    Wikipedia

  • 49Axiom — This article is about logical propositions. For other uses, see Axiom (disambiguation). In traditional logic, an axiom or postulate is a proposition that is not proven or demonstrated but considered either to be self evident or to define and… …

    Wikipedia

  • 50C*-algebra — C* algebras (pronounced C star ) are an important area of research in functional analysis, a branch of mathematics. The prototypical example of a C* algebra is a complex algebra A of linear operators on a complex Hilbert space with two additional …

    Wikipedia