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Is the function f okay? It's as if 'f' can see the number before it operates on it.

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- Thread starter pivoxa15
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- #1

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Is the function f okay? It's as if 'f' can see the number before it operates on it.

- #2

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if you do then:

you say:

Let f be an isomorphism

then you try to define it? That doesn't make sence to me, and what does 'f is the operation of division' meen, what spaces does f goes from to, and division with what?

When you say isomorophisms it's importent what spaces you are talking about. Fx. vector spaces you want linear bijections, metric vector spaces you wan't linear bijections that are also isometric etc.

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HallsofIvy

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Is the function f okay? It's as if 'f' can see the number before it operates on it.

I can't make any sense out of this. In the first place, isomorphisms in general are not from sets of numbers and so "the number in the domain is bigger than 1" makes no sense. In the second place, I don't see how you can say "let f be an isomorphism" and then

By "random" are you asking if you can just define a function any way you want and it will be an isomorphism? Certainly not! It would have to fit the definition of "isomorphism". Do you know what that is?

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