• Thumbnail for Topology
    Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the part of mathematics concerned with the properties of a geometric object...
    35 KB (4,068 words) - 20:18, 14 April 2024
  • Thumbnail for Network topology
    Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe...
    40 KB (5,208 words) - 20:04, 21 April 2024
  • natural topology called the product topology. This topology differs from another, perhaps more natural-seeming, topology called the box topology, which...
    12 KB (2,191 words) - 01:48, 26 September 2023
  • elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods for each point that satisfy...
    28 KB (4,040 words) - 06:46, 8 April 2024
  • In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,...
    22 KB (3,110 words) - 21:38, 10 November 2023
  • Thumbnail for Algebraic topology
    Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...
    19 KB (2,081 words) - 18:42, 13 April 2024
  • Thumbnail for General topology
    general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It...
    42 KB (5,724 words) - 02:31, 8 November 2023
  • In topology and related areas of mathematics, the set of all possible topologies on a given set forms a partially ordered set. This order relation can...
    8 KB (977 words) - 06:03, 8 March 2024
  • a strong topology is a topology which is stronger than some other "default" topology. This term is used to describe different topologies depending on...
    918 bytes (155 words) - 20:08, 28 August 2016
  • general topology and related areas of mathematics, the initial topology (or induced topology or weak topology or limit topology or projective topology) on...
    18 KB (3,389 words) - 19:30, 19 February 2024