In topology, two points of a topological space X are topologically indistinguishable if they have exactly the same neighborhoods. That is, if x and y...
11 KB (1,445 words) - 19:39, 11 May 2024
Computational indistinguishability Ciphertext indistinguishability Indistinguishability obfuscation Topological indistinguishability Indistinguishable processes...
422 bytes (58 words) - 21:47, 8 May 2024
mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space which has only...
21 KB (2,613 words) - 18:23, 26 August 2023
Hausdorff space (redirect from Hausdorff topological space)
is a topological space where distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space,...
16 KB (2,163 words) - 05:00, 9 August 2024
Kolmogorov space (category Properties of topological spaces)
underlying topological space of any scheme. Given any topological space one can construct a T0 space by identifying topologically indistinguishable points...
13 KB (1,797 words) - 02:06, 8 August 2024
specialization preorder is just that of topological indistinguishability. That is, x and y are topologically indistinguishable if and only if x ≤ y and y ≤ x....
10 KB (1,414 words) - 16:06, 25 December 2023
T1 space (category Properties of topological spaces)
constant nets) are unique (for T1 spaces) or unique up to topological indistinguishability (for R0 spaces). As it turns out, uniform spaces, and more...
12 KB (1,922 words) - 06:22, 22 December 2023
Connected space (redirect from Path-connected topological space)
Connectedness is one of the principal topological properties that are used to distinguish topological spaces. A subset of a topological space X {\displaystyle X}...
26 KB (3,815 words) - 01:49, 4 February 2024
Limit of a sequence (redirect from Topological convergence)
mathematical analysis ultimately rests. Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers. The Greek...
27 KB (4,504 words) - 07:50, 24 July 2024
since the points of each doublet are topologically indistinguishable. It is, however, R0 since topologically distinguishable points are separated. The...
6 KB (884 words) - 17:19, 18 February 2024