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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
8
votes
Constructions unique up to non-unique isomorphism
The homology of a differential graded algebra has an $A_\infty$-algebra structure which is unique up to non-unique isomorphism.
See Keller's nice expository paper Introduction to A-infinity algebras a …
1
vote
Applications of Brouwer's fixed point theorem
I've been thinking about a very similar issue: I was considering giving a talk about the Brouwer fixed point theorem to some math majors (but not necessarily ones very familiar with point-set topology …