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base_for_a_topology [2014/10/29 20:10] nikolaj |
base_for_a_topology [2014/10/29 21:09] nikolaj |
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| ===== Base for a topology ===== | ===== Base for a topology ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#55CCEE: context | @#55CCEE: $\left X,T\right ... topological space | | + | | @#55CCEE: context | @#55CCEE: $\langle X,T\rangle$ ... topological space | |
| | @#FFBB00: definiendum | @#FFBB00: $B\in$ it | | | @#FFBB00: definiendum | @#FFBB00: $B\in$ it | | ||
| | @#AAFFAA: inclusion | @#AAFFAA: $B\subseteq T$ | | | @#AAFFAA: inclusion | @#AAFFAA: $B\subseteq T$ | | ||
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| ==== Discussion ==== | ==== Discussion ==== | ||
| - | A base $B$ for a topology is a collection its open sets, which suffice to cover any other open set. | + | A base $B$ for a topology is a collection its open sets, which suffice to cover any open set. |
| ==== Parents ==== | ==== Parents ==== | ||
| === Context === | === Context === | ||
| [[Topological space]] | [[Topological space]] | ||
