About: Rational sequence topology

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In mathematics, more specifically general topology, the rational sequence topology is an example of a topology given to the set of real numbers, denoted R. To give R a topology means to say which subsets of R are "open", and to do so in a way that the following axioms are met: 1. * The union of open sets is an open set. 2. * The finite intersection of open sets is an open set. 3. * R and the empty set ∅ are open sets.

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  • In mathematics, more specifically general topology, the rational sequence topology is an example of a topology given to the set of real numbers, denoted R. To give R a topology means to say which subsets of R are "open", and to do so in a way that the following axioms are met: 1. * The union of open sets is an open set. 2. * The finite intersection of open sets is an open set. 3. * R and the empty set ∅ are open sets. (en)
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  • In mathematics, more specifically general topology, the rational sequence topology is an example of a topology given to the set of real numbers, denoted R. To give R a topology means to say which subsets of R are "open", and to do so in a way that the following axioms are met: 1. * The union of open sets is an open set. 2. * The finite intersection of open sets is an open set. 3. * R and the empty set ∅ are open sets. (en)
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  • Rational sequence topology (en)
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