Faster access than browser!Similarities between List of general topology topics and Specialization (pre)order
List of general topology topics and Specialization (pre)order have 15 things in common (in Unionpedia): Alexandrov topology, Closed set, Closure (topology), Continuous function, Hausdorff space, Kolmogorov space, Open set, Order theory, Scott continuity, Separation axiom, Sierpiński space, Sober space, T1 space, Topological space, Upper topology.
Alexandrov topology
In topology, an Alexandrov topology is a topology in which the intersection of any family of open sets is open.
Alexandrov topology and List of general topology topics · Alexandrov topology and Specialization (pre)order ·
Closed set
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.
Closed set and List of general topology topics · Closed set and Specialization (pre)order ·
Closure (topology)
In mathematics, the closure of a subset S of points in a topological space consists of all points in S together with all limit points of S. The closure of S may equivalently be defined as the union of S and its boundary, and also as the intersection of all closed sets containing S. Intuitively, the closure can be thought of as all the points that are either in S or "near" S. A point which is in the closure of S is a point of closure of S. The notion of closure is in many ways dual to the notion of interior.
Closure (topology) and List of general topology topics · Closure (topology) and Specialization (pre)order ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Continuous function and List of general topology topics · Continuous function and Specialization (pre)order ·
Hausdorff space
In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods.
Hausdorff space and List of general topology topics · Hausdorff space and Specialization (pre)order ·
Kolmogorov space
In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other.
Kolmogorov space and List of general topology topics · Kolmogorov space and Specialization (pre)order ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
List of general topology topics and Open set · Open set and Specialization (pre)order ·
Order theory
Order theory is a branch of mathematics which investigates the intuitive notion of order using binary relations.
List of general topology topics and Order theory · Order theory and Specialization (pre)order ·
Scott continuity
In mathematics, given two partially ordered sets P and Q, a function f \colon P \rightarrow Q between them is Scott-continuous (named after the mathematician Dana Scott) if it preserves all directed suprema, i.e. if for every directed subset D of P with supremum in P its image has a supremum in Q, and that supremum is the image of the supremum of D: that is, \sqcup f.
List of general topology topics and Scott continuity · Scott continuity and Specialization (pre)order ·
Separation axiom
In topology and related fields of mathematics, there are several restrictions that one often makes on the kinds of topological spaces that one wishes to consider.
List of general topology topics and Separation axiom · Separation axiom and Specialization (pre)order ·
Sierpiński space
In mathematics, the Sierpiński space (or the connected two-point set) is a finite topological space with two points, only one of which is closed.
List of general topology topics and Sierpiński space · Sierpiński space and Specialization (pre)order ·
Sober space
In mathematics, a sober space is a topological space X such that every irreducible closed subset of X is the closure of exactly one point of X: that is, this closed subset has a unique generic point.
List of general topology topics and Sober space · Sober space and Specialization (pre)order ·
T1 space
In topology and related branches of mathematics, a T1 space is a topological space in which, for every pair of distinct points, each has a neighborhood not containing the other.
List of general topology topics and T1 space · Specialization (pre)order and T1 space ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
List of general topology topics and Topological space · Specialization (pre)order and Topological space ·
Upper topology
In mathematics, the upper topology on a partially ordered set X is the coarsest topology in which the closure of a singleton \ is the order section a.
List of general topology topics and Upper topology · Specialization (pre)order and Upper topology ·
The list above answers the following questions
- What List of general topology topics and Specialization (pre)order have in common
- What are the similarities between List of general topology topics and Specialization (pre)order
List of general topology topics and Specialization (pre)order Comparison
List of general topology topics has 166 relations, while Specialization (pre)order has 53. As they have in common 15, the Jaccard index is 6.85% = 15 / (166 + 53).
References
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