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Topological Space Meaning In Bengali
Topological Space শব্দের বাংলা অর্থ কি: ভূ স্থান
Topological Space
Definition
1) In mathematics, a topological space is a set with a collection of open sets that satisfy certain properties.
2) It is a set equipped with a topology, which is a collection of subsets that define open sets.
3) Topological spaces are fundamental objects in topology and other branches of mathematics.
Examples
Topological Space Example in a sentence
1) In mathematics, a topological space is a set equipped with a collection of open subsets.
2) The closed intervals on the real number line form a topological space.
3) A topological space can have multiple distinct topologies.
4) The Cartesian product of two topological spaces is also a topological space.
5) The concept of continuity between topological spaces is defined using open sets.
6) Any subset of a topological space can have its own induced topology.
7) The sphere is a common example of a topological space.
8) The topology of a topological space determines the notion of convergence.
9) A topological space can be compact, connected, or Hausdorff.
10) The study of topological spaces is fundamental in the field of topology.
Synonyms
Encyclopedia
In mathematics, a topological space is a set with a collection of open sets that satisfy certain properties.
It is a set equipped with a topology, which is a collection of subsets that define open sets.
Topological spaces are fundamental objects in topology and other branches of mathematics.
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