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Mmathwonk reacted to fresh_42's post in the thread I How do we distinguish two different notations for cokernel and coimage? with
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Yes. You will need kernels and images, not their dual objects. Sure, quotients will be necessary, but it's better to think of them as... -
Mmathwonk replied to the thread I How do we distinguish two different notations for cokernel and coimage?.that is a problem if you just use the word. I guess you'll need to either write out the map or just explain yourself. e.g. f:X-->Y...
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Mmathwonk replied to the thread I How do we distinguish two different notations for cokernel and coimage?.not really, sounds as if you know more about them than I do. I have struggled all my life to grasp the algebra side of algebraic...
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Mmathwonk replied to the thread Calculus Marsden 1979 vs Marsden 6th edition.have you seen (the rest of) post #12? I augmented it.
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Mmathwonk replied to the thread Calculus Marsden 1979 vs Marsden 6th edition.Yes, that is it, and indeed it is very condensed. (The text is actually only about 146 pages.). That is why I suggested looking at the...
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Mmathwonk replied to the thread Calculus Marsden 1979 vs Marsden 6th edition.In the first sentence of post #6 "that book" referred to the MIT book linked in post #5. The Spivak book you linked in post #7 is...
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Mmathwonk replied to the thread Calculus Marsden 1979 vs Marsden 6th edition.Note that the stated goal of that book is to enable the student to pass an exam, rather than to understand the subject. It is neither...
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Mmathwonk replied to the thread I How do we distinguish two different notations for cokernel and coimage?.I'm not very good with sheaves. Off the top of my head, I recall that one progresses from presheaves to sheaves by "localizing". So...
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Mmathwonk replied to the thread Calculus Marsden 1979 vs Marsden 6th edition.Yes I am the mathwonk from well trained mind. I helped inaugurate the summer program "epsilon camp" with George Thomas (as a lecturer...
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Mmathwonk replied to the thread Calculus Marsden 1979 vs Marsden 6th edition.Hi Homelilly. I am one of the people who recommended multivariable calc books to you back in March. I see you have chosen a different...
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Mmathwonk replied to the thread I How do we distinguish two different notations for cokernel and coimage?.Good question. I think the point is that both approaches are really the same when you remember what sort of objects you are dealing...
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Mmathwonk reacted to martinbn's post in the thread I How do we distinguish two different notations for cokernel and coimage? with Like.
From the context. Just like all your recent questions, it depends on the context. If you work with a category where the objects are not...
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Mmathwonk replied to the thread Intro Math Recommendations for Math book series for preschool onward.One of my colleagues, Sybilla Beckmann, a research mathematician in arithmetic geometry, following the birth of her own children became...