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There is a page named "Excluded point topology" on Wikipedia
- In mathematics, the excluded point topology is a topology where exclusion of a particular point defines openness. Formally, let X be any non-empty set...3 KB (397 words) - 01:01, 5 May 2023
- extension topology Finite excluded point topology Countable excluded point topology Uncountable excluded point topology Open extension topology Either-or...10 KB (1,075 words) - 14:22, 18 April 2024
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...42 KB (5,724 words) - 02:31, 8 November 2023- mathematics, the particular point topology (or included point topology) is a topology where a set is open if it contains a particular point of the topological...9 KB (1,270 words) - 21:23, 24 August 2023
- Comb space Dieudonné plank Double origin topology Dunce hat (topology) Either–or topology Excluded point topology − A topological space where the open sets...15 KB (2,023 words) - 17:43, 23 May 2024
- particular point topology on the set {0,1}. The excluded point topology on any set with at least two elements is T0 but not T1. The only closed point is the...13 KB (1,797 words) - 02:06, 8 August 2024
- Finite topological space (section Algebraic topology)space X. For example, the particular point topology on a finite space is hyperconnected while the excluded point topology is ultraconnected. The Sierpiński...21 KB (2,613 words) - 18:23, 26 August 2023
- has a single point, X ∗ {\displaystyle X^{*}} is ultraconnected. For a set Z and a point p in Z, one obtains the excluded point topology construction...6 KB (921 words) - 14:55, 21 January 2023
- Locally compact space (section The point at infinity)senses (1), (2) and (3), but not (4) or (5). More generally, the excluded point topology is locally compact in senses (1), (2) and (3), and compact, but...19 KB (2,531 words) - 15:27, 24 December 2023
- infinity is the accumulation point; (2) a space with the excluded point topology, where the "excluded point" is the accumulation point. Every Hausdorff door...4 KB (654 words) - 19:22, 26 May 2023
- Sierpiński space (redirect from Sierpinski topology)both the finite particular point topology (with particular point 1) and the finite excluded point topology (with excluded point 0). Therefore, S {\displaystyle...13 KB (1,918 words) - 04:08, 9 June 2024
Connected space (redirect from Connected (topology))connected if it is connected under its subspace topology. Some authors exclude the empty set (with its unique topology) as a connected space, but this article...26 KB (3,815 words) - 01:49, 4 February 2024- indiscrete topology. The Sierpiński space. A set with the excluded point topology. The right order topology on the real line. Hyperconnected space PlanetMath...2 KB (279 words) - 13:37, 12 April 2024
Manifold (redirect from Manifold (topology))have a rich set of invariants, coming from point-set topology, classic algebraic topology, and geometric topology. The most familiar invariants, which are...68 KB (9,498 words) - 05:38, 16 July 2024- this set, Cantor and others helped lay the foundations of modern point-set topology. The most common construction is the Cantor ternary set, built by...45 KB (6,916 words) - 19:55, 12 May 2024
he is known as one of the founders of modern topology, particularly for establishing his fixed-point theorem and the topological invariance of dimension...20 KB (2,253 words) - 12:21, 23 August 2024
Compact space (redirect from Compact (topology))In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean...45 KB (5,681 words) - 09:54, 31 July 2024- Axiomatic foundations of topological spaces (redirect from Topology Axioms)for the case in which it is excluded. A topology on X {\displaystyle X} defines a notion of a filter converging to a point x {\displaystyle x} of X , {\displaystyle...28 KB (4,685 words) - 23:40, 28 July 2024
- needed] The study of topology in mathematics extends all over through point set topology, algebraic topology, differential topology, and all the related...34 KB (4,926 words) - 00:35, 19 August 2024
- a Dutch mathematician. He made substantial contributions to algebraic topology and also took an interest in literature, philosophy, history and mathematics
- two problems. The one concerns enumerative geometry and the other the topology of algebraic curves and surfaces. 15. Rigorous foundation of Schubert's
- convention, the ball B 0 {\displaystyle B^{0}} is a single point. Any space with the discrete topology is a 0-dimensional manifold. Note also that all topological