Properties of topological spaces

Door space

In mathematics, in the field of topology, a topological space is said to be a door space if every subset is open or closed (or both). The term comes from the introductory topology mnemonic that "a subset is not like a door: it can be open, closed, both, or neither". (Wikipedia).

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Related pages

Topological space | Accumulation point | Open set | Mathematics | Topology | Clopen set | Hausdorff space | Closed set