Description/Reason:
branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing). "A donut/torus and a coffee mug are topologically equivalent."
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The noun "topology" can not be used to say "are topologically equivalent". "topologically" is an adjective in that sentence, so even if the word was granted, the example sentence still could not be said without rewording the sentence.
We often must be (and have been) philosophically charitable about the wording of a suggestion. The example is intended to demonstrate the concept. We have to reword sentences all the time based on the limitations of available parts of speech. You would indeed have to say something like, {rap cha' tu'qommey 'e' Dam [topology] tej} "A topologist considers the two shapes to be the same." The idea is still real and useful.
To talk about this subject I might begin with qung mI' – hole number, i.e. genus, and then refer to topology as qung mI' QeD, or even qung QeD, once context had been established. QeDvamvaD potlhbe' QemjIq, tu'qom joq. potlh qung neH.