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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
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 ...
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
5 Examples. 6 Uniform spaces. 7 Metric spaces. 8 Topology and order theory. 9 Descriptive set theory. 10 Dimension theory. ... Topology glossary; List of topology topics;
Equivariant topology; Erdős space; List of examples in general topology; Excluded point topology; Extension topology; F. Fibration; Finite topological space;
A fully connected network, complete topology, or full mesh topology is a network topology in which there is a direct link between all pairs of nodes. In a fully connected network with n nodes, there are () direct links. Networks designed with this topology are usually very expensive to set up, but provide a high degree of reliability due to the ...
Signature (topology) Handle decomposition; Handlebody; h-cobordism theorem; s-cobordism theorem; Manifold decomposition; Hilbert-Smith conjecture; Mapping class group; Orbifolds; Examples Exotic sphere; Homology sphere; Lens space; I-bundle