Question: Let X be a set. Suppose given two topologies U and 21'. Assume that for any point x E X and any open neighbourhood U'

Let X be a set. Suppose given two topologies U and

Let X be a set. Suppose given two topologies U and 21'. Assume that for any point x E X and any open neighbourhood U' E U' of x, there is an open neighbourhood U E Z1 ofx such that U Q U'. Show that the identity map id: (Xi/l) > (Xi/W) : x I> x is continuous

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