Grothendieck Topology - Continuous and Cocontinuous Functors

Continuous and Cocontinuous Functors

There are two natural types of functors between sites. They are given by functors which are compatible with the topology in a certain sense.

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    The habit of common and continuous speech is a symptom of mental deficiency. It proceeds from not knowing what is going on in other people’s minds.
    Walter Bagehot (1826–1877)