MSM3P22/MSM4P22 Further Complex Variable Theory & General Topology Solutions to Problem sheet 2 Jos´e A. Ca˜ nizo March 2013

Source URL: canizo.org

• Topology
• General topology
• Topological space
• Base
• Cocountable topology
• Lower limit topology
• Hausdorff space
• Cofiniteness
• Continuous function
• Closure
• Open set
• Urysohn and completely Hausdorff spaces

Sorgenfrey line Let R be equipped with the topology (called lower limit topology) generated by lower half open intervals [a, b). The space so obtained is called

Source URL: math.gmu.edu

182 d-8

Source URL: e-books.enigma.uran.ru

• Lindelöf space
• Second-countable space
• Separable space
• Metrization theorem
• Axiom of countability
• Countably compact space
• Paracompact space
• Lower limit topology
• Normal space
• Topology
• General topology
• Topological spaces