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Apologies if this is not the right stackexchange for this question;

I've come across the term "topology" being used in some articles about music/sound. As someone coming from a mathematical background, the use of this word is confusing. It seems to have no relation with topology in the mathematical sense but i don't know how to find more information about this. Some places that use the word topology in this sense are: https://www.convexoptimization.com/wikimization/index.php/Dattorro_Convex_Optimization_of_a_Reverberator

https://www.alsa-project.org/wiki/ALSA_topology

What does topology mean here?

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You are correct that this is not the right stack exchange for this question, as it is not strictly related to sound design.

In the context given it is an electronics engineering term which means "configuration". See "filter topology", "network topology", "circuit topology", etc.

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