The probability that the mapping selected is an injection is
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mapping of one topological space to another, under which the image of every closed set is a closed set.
Let and be topological spaces. A map is called an Open Map if for every open set we have that the image is open. Furthermore, is said to be a Closed Map if for every closed set we have that the image is closed. If is an open/closed map then we sometimes just say that is open/closed.
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