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Hey doing some math and Need help with something I've always

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Hey doing some math and Need help with something I've always had trouble with. If I have three spaces X,Y,Z and a map
f: X x Y --> Z given by some explicite map, how would I go about proving its continuous? I just don't know how to go about proving this since if I take an open set of Z I have a hard time figuring out what the inverse image looks like in X and Y. Also if it helps, all three spaces are vector spaces.
>>
>>39934
i love fake pictures like that.

Vector spaces destroyed me. Cant help you anon.
>>
I'll bump just once
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