I am reading §22 of Topology by Munkres, in Theorem 22.2 the function g is said to be constant on each set p^(-1)({y}). However the only explicit property given in Corollary 22.3 to the function g is that it is continuous and surjective, but Theorem 22.2 to g in the proof. Is it implied that g in 22.3 also has the properties given in Theorem 22.2?(adsbygoogle = window.adsbygoogle || []).push({});

.. Mads

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# Uncertain about premise for proof.

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