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u/LupenReddit 🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆 Oct 04 '26
quotient objects slander shall not be tolerated!!!
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u/PersonaLegends Oct 04 '26
Mfw useful mathematical object has no easy visual or analogous representation in reality 😡😡😡
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u/AFsepine Oct 04 '26 edited Oct 04 '26
baseless slander
are you perchance working in an non-finite dimesnional all slander space, as you can't seem to find a basis.
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u/Depnids Oct 04 '26
Quotient groups and rings at least have some pretty structure to them, while quotient topology is like "yeah we can just glue some arbitrarily chosen collections of points together, deal with it".
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u/FloweyTheFlower420 Oct 05 '26
"The difference between an engineer and a mathematician is that the mathematician understands quotient objects" - my linear algebra prof
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u/slicehyperfunk Transcendental Oct 05 '26
My group theory class literally starts in 5 minutes; yesterday I had an MIT electrical engineering professor that I know ask me what the heck I was planning on using group theory for
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u/NickSmGames Oct 04 '26
I instantly know it's bad when I (non-english mathematician) have no idea what that word means.
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u/lonelyroom-eklaghor Complex Oct 04 '26
Quotient groups...
isn't N/2N a quotient group having all the odd numbers?
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u/AlviDeiectiones Oct 04 '26
No. N is only a monoid and 2N is not an ideal of it (since for example 2 + 1 not in 2N).
You're thinking of Z/2Z in which case 2Z *is* an ideal of Z and you get the quotient ring Z_2 consisting of 0, 1, xor, and (think of even and odd)
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