Function that maps non-empty open sets to sets that have non-empty interior in its codomain
In topology a branch of mathematics, a quasi-open map or quasi-interior map is a function which has similar properties to continuous maps. 
However, continuous maps and quasi-open maps are not related.
Definition.
A function "f" : "X" → "Y" between topological spaces X and Y is quasi-open if, for any non-empty open set "U" ⊆ "X", the interior of "f" ("'U") in Y is non-empty.
Properties.
Let formula_1 be a map between topological spaces.
Notes.
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References.
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