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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; ... This page was last edited on 5 April 2022, at 14:14 (UTC).
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 trivial topology (or indiscrete topology) on a set X consists of precisely the empty set and the entire space X. Tychonoff A Tychonoff space (or completely regular Hausdorff space, completely T 3 space, T 3.5 space) is a completely regular T 0 space. (A completely regular space is Hausdorff if and only if it is T 0, so the terminology is ...
This category admits many different Grothendieck topologies, each of which is well-suited for a different purpose. This is a list of some of the topologies on the category of schemes. cdh topology A variation of the h topology; Étale topology Uses etale morphisms. fppf topology Faithfully flat of finite presentation; fpqc topology Faithfully ...
This category has the following 5 subcategories, out of 5 total. H. Homogeneous spaces (2 C, 18 P) M. ... List of topologies; Topologist's sine curve; Trivial topology;
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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 ...