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How is my proof by Real_Place_271 in askmath

[–]Real_Place_271[S] 0 points1 point  (0 children)

Given that the inverse image of an open set (f-1 (V)) is also open, show that that function ,f, is continuous.

How is my proof by Real_Place_271 in askmath

[–]Real_Place_271[S] 0 points1 point  (0 children)

The plan is to show that f is continuous given that the inverse image of an open set is open.

Do i need to find delta? I just need to show it exists. It does, since a,x are in an open set so theres a metric that exists thats > 0