Abstract
There is a usual practice in topology of “completing” an object via an initial morphism X→Y and then using some ad hoc method of transforming that initial morphism into an embedding X→Y′. In the setting of categorical topology we show that there is a bicoreflective general process available for carrying out such constructions. We further show that this bicoreflector can be adapted to respect a closure operator when the topological construct is endowed with such.
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