nForum - Search Results Feed (Tag: mapping)Tue, 29 Nov 2022 03:37:51 +0000
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What is precisely the definition of the term homomorphism in the definition of function?
https://nforum.ncatlab.org/discussion/6029/
https://nforum.ncatlab.org/discussion/6029/Wed, 11 Jun 2014 00:33:13 +0000MateoC
In the outstanding definition of function, nLab says: "In a strict sense of the term, a function is a homomorphism f:S→T of sets..." 1. What is exactly the definition of homomorphism in this context?

In the definition of homomorphism, nLab says: "More generally, a homomorphism between sets equipped with any algebraic structure is a map preserving this structure." 2. Then All the sets have an algebraic structure, or a set is an algebraic structure itself?
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