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For questions requesting examples of a certain structure or phenomenon
0
votes
Examples where it's useful to know that a mathematical object belongs to some family of objects
I have two related sorts of example to suggest, probably exhibiting my categorical bias vs. the analytic/geometric-topology weight of the preceding examples. …
8
votes
Clearing misconceptions: Defining "is a model of ZFC" in ZFC
I suspect these sorts of problems arise in two ways: ignoring wrongness (e.g. Skolem's paradox, that there are countable models of set theory which believe in uncountable sets) and ignoring first-orde …
2
votes
What is your favorite isomorphism?
I should say I'm fond of the Thom isomorphism, but I still find the contents rather mysterious.