• Thumbnail for Topology
    Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric...
    35 KB (4,041 words) - 16:49, 2 September 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 (5,227 words) - 00:02, 7 September 2024
  • 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
  • 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
  • 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
  • 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 (4,038 words) - 19:21, 9 September 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) - 12:28, 31 May 2024
  • 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 (981 words) - 02:22, 28 June 2024
  • Thumbnail for Zariski topology
    algebra, the Zariski topology is a topology defined on geometric objects called varieties. It is very different from topologies that are commonly used...
    18 KB (2,770 words) - 06:44, 1 July 2024
  • particularly in the field of topology, the K-topology, also called Smirnov's deleted sequence topology, is a topology on the set R of real numbers which...
    4 KB (594 words) - 21:59, 3 August 2024