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This document discusses countable and separable topological spaces. It begins by defining first and second countable topological spaces. Every metric space is first countable, but the lower limit topology on R is first countable but not second countable. A topological space is second countable if it has a countable basis. Every second countable space is first countable and Lindelöf, but not necessarily compact. A topological space is separable if it has a countable dense subset. The document proves that eve

Author

haadi khan

Language

EN