nForum - Search Results Feed (Tag: mapping)2022-11-29T05:38:51+00:00https://nforum.ncatlab.org/
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What is precisely the definition of the term homomorphism in the definition of function?https://nforum.ncatlab.org/discussion/6029/2014-06-11T00:33:13+00:002014-06-11T02:35:25+00:00MateoChttps://nforum.ncatlab.org/account/1234/
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 ...
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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