When.com Web Search

Search results

  1. Results From The WOW.Com Content Network
  2. General topology - Wikipedia

    en.wikipedia.org/wiki/General_topology

    In mathematics, 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 is the foundation of most other branches of topology, including differential topology , geometric topology , and algebraic topology .

  3. Topology - Wikipedia

    en.wikipedia.org/wiki/Topology

    General topology is the branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. [11] [12] It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology.

  4. List of general topology topics - Wikipedia

    en.wikipedia.org/wiki/List_of_general_topology...

    This is a list of general topology topics. Basic concepts. Topological space; Topological property; Open set, closed set. Clopen set; Closure (topology) Boundary ...

  5. Category:General topology - Wikipedia

    en.wikipedia.org/wiki/Category:General_topology

    In mathematics, general topology or point set topology is that branch of topology which studies properties of general topological spaces (which may not have further structure; for example, they may not be manifolds), and structures defined on them.

  6. Glossary of general topology - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_general_topology

    Absolutely closed See H-closed Accessible See . Accumulation point See limit point. Alexandrov topology The topology of a space X is an Alexandrov topology (or is finitely generated) if arbitrary intersections of open sets in X are open, or equivalently, if arbitrary unions of closed sets are closed, or, again equivalently, if the open sets are the upper sets of a poset.

  7. Topological space - Wikipedia

    en.wikipedia.org/wiki/Topological_space

    In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance.More specifically, a topological space is a set whose 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 some axioms ...

  8. List of examples in general topology - Wikipedia

    en.wikipedia.org/wiki/List_of_examples_in...

    This is a list of useful examples in general topology, a field of mathematics. Alexandrov topology; Cantor space; Co-kappa topology Cocountable topology; Cofinite topology; Compact-open topology; Compactification; Discrete topology; Double-pointed cofinite topology; Extended real number line; Finite topological space; Hawaiian earring; Hilbert cube

  9. List of topologies - Wikipedia

    en.wikipedia.org/wiki/List_of_topologies

    The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property.