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Pronunciation varies by accent · verb
(mathematics) To equip with a topology, to characterize as a topological space.
We topologize Spec(M) with Zariski topology, which is analogous to that for Spec(R), and consider Max(M) as the induced subspace topology.
Use topologize when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Topologize means (mathematics) To equip with a topology, to characterize as a topological space.
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
We topologize Spec(M) with Zariski topology, which is analogous to that for Spec(R), and consider Max(M) as the induced subspace topology.
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