Properties
Let be a function such that X and Y are topological spaces.
- If is continuous, it need not be quasi-open. Conversely if is quasi-open, it need not be continuous.
- If is open, then is quasi-open.
- If is a local homeomorphism, then is quasi-open.
- If and are both quasi-open (such that all spaces are topological), then the function composition is quasi-open.
Read more about this topic: Quasi-open Map
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