Past exam of the options I course of the University of Oxford / 2008 / E / E1 / a / i

Table of contents
- Solution i

Solution

A map of topological spaces is continuous when the preimage

f^{- 1} (U)

is open in

X

for every open set

U

of

Y

. Equivalently, the preimage of every closed subset of

Y

is closed in

X

.

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