Faster access than browser!Similarities between Order topology and Ordinal number
Order topology and Ordinal number have 9 things in common (in Unionpedia): Discrete space, First uncountable ordinal, Isolated point, Limit ordinal, Limit point, Sequence, Successor ordinal, Topological space, Total order.
Discrete space
In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous sequence, meaning they are isolated from each other in a certain sense.
Discrete space and Order topology · Discrete space and Ordinal number ·
First uncountable ordinal
In mathematics, the first uncountable ordinal, traditionally denoted by ω1 or sometimes by Ω, is the smallest ordinal number that, considered as a set, is uncountable.
First uncountable ordinal and Order topology · First uncountable ordinal and Ordinal number ·
Isolated point
In mathematics, a point x is called an isolated point of a subset S (in a topological space X) if x is an element of S but there exists a neighborhood of x which does not contain any other points of S. This is equivalent to saying that the singleton is an open set in the topological space S (considered as a subspace of X).
Isolated point and Order topology · Isolated point and Ordinal number ·
Limit ordinal
In set theory, a limit ordinal is an ordinal number that is neither zero nor a successor ordinal.
Limit ordinal and Order topology · Limit ordinal and Ordinal number ·
Limit point
In mathematics, a limit point (or cluster point or accumulation point) of a set S in a topological space X is a point x that can be "approximated" by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point of S other than x itself.
Limit point and Order topology · Limit point and Ordinal number ·
Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.
Order topology and Sequence · Ordinal number and Sequence ·
Successor ordinal
In set theory, the successor of an ordinal number α is the smallest ordinal number greater than α.
Order topology and Successor ordinal · Ordinal number and Successor ordinal ·
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.
Order topology and Topological space · Ordinal number and Topological space ·
Total order
In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is antisymmetric, transitive, and a connex relation.
Order topology and Total order · Ordinal number and Total order ·
The list above answers the following questions
- What Order topology and Ordinal number have in common
- What are the similarities between Order topology and Ordinal number
Order topology and Ordinal number Comparison
Order topology has 49 relations, while Ordinal number has 83. As they have in common 9, the Jaccard index is 6.82% = 9 / (49 + 83).
References
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