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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.
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
The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed. This is a list of topology topics. See also: Topology glossary; List of topologies; List of general topology topics; List of geometric topology topics
The weak topology on a set, with respect to a collection of functions from that set into topological spaces, is the coarsest topology on the set which makes all the functions continuous. Weaker topology See Coarser topology. Beware, some authors, especially analysts, use the term stronger topology. Weakly countably compact
A three-dimensional model of a figure-eight knot.The figure-eight knot is a prime knot and has an Alexander–Briggs notation of 4 1.. Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling ...
List of geometric topology topics; List of algebraic topology topics; Publications in topology This page was last edited on 30 October 2023, at 12:17 (UTC). ...
In mathematics, topology is a branch of geometry concerned with the study of topological spaces. The term topology is also used for a set of open sets used to define topological spaces. See the topology glossary for common terms and their definition. Properties of general topological spaces (as opposed to manifolds) are discussed in general ...
List of topologies; Topologist's sine curve; Trivial topology; Tychonoff plank; Tychonoff space This page was last edited on 5 March 2023, at 03:35 (UTC). ...