classical topology

  • 1Topology (disambiguation) — Topology is a branch of mathematics concerned with spatial properties preserved under bicontinuous deformation (stretching without tearing or gluing); these properties are the topological invariants.Topology may also refer to: *Topology, the… …

    Wikipedia

  • 2Topology (musical ensemble) — Topology is a post classical quintet from Australia, formed in 1997. A leading Australian new music ensemble, they perform throughout Australia and abroad and have to date released four albums, including one with rock/electronica band Full Fathom …

    Wikipedia

  • 3Classical Wiener space — In mathematics, classical Wiener space is the collection of all continuous functions on a given domain (usually a sub interval of the real line), taking values in a metric space (usually n dimensional Euclidean space). Classical Wiener space is… …

    Wikipedia

  • 4Classical group — For the book by Weyl, see The Classical Groups. Lie groups …

    Wikipedia

  • 5Classical unified field theories — Since the 19th century, some physicists have attempted to develop a single theoretical framework that can account for the fundamental forces of nature – a unified field theory. Classical unified field theories are attempts to create a unified… …

    Wikipedia

  • 6Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a …

    Wikipedia

  • 7Zariski topology — In algebraic geometry, the Zariski topology is a particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition. It is due to Oscar Zariski and took a place of particular importance in the field around… …

    Wikipedia

  • 8Fine topology (potential theory) — In mathematics, in the field of potential theory, the fine topology is a natural topology for setting the study of subharmonic functions. In the earliest studies of subharmonic functions, only smooth functions were considered, namely those for… …

    Wikipedia

  • 9Cone (topology) — Cone of a circle. The original space is in blue, and the collapsed end point is in green. In topology, especially algebraic topology, the cone CX of a topological space X is the quotient space: of the …

    Wikipedia

  • 10Directed algebraic topology — In mathematics, directed algebraic topology is a form of algebraic topology that studies topological spaces equipped with a family of directed paths, closed under some operations. The term d space is applied to these spaces. Directed algebraic… …

    Wikipedia