Similarities between Regular space and Zero-dimensional space
Regular space and Zero-dimensional space have 8 things in common (in Unionpedia): Base (topology), Clopen set, Hausdorff space, Inductive dimension, Locally compact space, Mathematics, Point (geometry), Topological space.
Base (topology)
In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B.We are using a convention that the union of empty collection of sets is the empty set.
Base (topology) and Regular space · Base (topology) and Zero-dimensional space ·
Clopen set
In topology, a clopen set (a portmanteau of closed-open set) in a topological space is a set which is both open and closed.
Clopen set and Regular space · Clopen set and Zero-dimensional space ·
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 Regular space · Hausdorff space and Zero-dimensional space ·
Inductive dimension
In the mathematical field of topology, the inductive dimension of a topological space X is either of two values, the small inductive dimension ind(X) or the large inductive dimension Ind(X).
Inductive dimension and Regular space · Inductive dimension and Zero-dimensional space ·
Locally compact space
In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.
Locally compact space and Regular space · Locally compact space and Zero-dimensional space ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics and Regular space · Mathematics and Zero-dimensional space ·
Point (geometry)
In modern mathematics, a point refers usually to an element of some set called a space.
Point (geometry) and Regular space · Point (geometry) and Zero-dimensional 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.
Regular space and Topological space · Topological space and Zero-dimensional space ·
The list above answers the following questions
- What Regular space and Zero-dimensional space have in common
- What are the similarities between Regular space and Zero-dimensional space
Regular space and Zero-dimensional space Comparison
Regular space has 36 relations, while Zero-dimensional space has 26. As they have in common 8, the Jaccard index is 12.90% = 8 / (36 + 26).
References
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