topological space Sentence Examples
- In mathematics, a topological space is a set endowed with a topology, which specifies the open sets in the space.
- The topological space of real numbers with the standard topology is an example of a Euclidean space.
- The topological space of integers with the discrete topology is an example of a discrete space.
- The product of two topological spaces is itself a topological space, with the product topology.
- The quotient of a topological space by an equivalence relation is a topological space, with the quotient topology.
- A subset of a topological space is closed if its complement is open.
- A subset of a topological space is open if it contains a neighborhood of each of its points.
- A topological space is Hausdorff if every pair of distinct points has disjoint neighborhoods.
- A topological space is compact if every open cover has a finite subcover.
- A topological space is connected if it cannot be written as the union of two disjoint open sets.
topological space Meaning
Wordnet
topological space (n)
(mathematics) any set of points that satisfy a set of postulates of some kind
Synonyms & Antonyms of topological space
No Synonyms and anytonyms found
FAQs About the word topological space
(mathematics) any set of points that satisfy a set of postulates of some kind
No synonyms found.
No antonyms found.
In mathematics, a topological space is a set endowed with a topology, which specifies the open sets in the space.
The topological space of real numbers with the standard topology is an example of a Euclidean space.
The topological space of integers with the discrete topology is an example of a discrete space.
The product of two topological spaces is itself a topological space, with the product topology.
