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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Sep 3, 2010 at 17:14 comment added Tony Huynh So, it appears that the main objection on meta to the question boils down to the use of "your favourite...", which I suppose is rather subjective. Qiaochu mentions that he would be perfectly happy with a question such as "what are concrete, striking examples of isomorphisms to describe to students?" @Jason: if you don't mind rephrasing your question slightly, I think it can be reopened.
Sep 3, 2010 at 3:16 comment added Victor Protsak In view of the insightful answers given and since I disagree with a practice where overlapping groups of high point users vote to close the same question both at MU and MO, I am voting to reopen.
Sep 3, 2010 at 0:24 history closed Andrew Stacey
Robin Chapman
Theo Johnson-Freyd
Qiaochu Yuan
Pete L. Clark
off topic
Sep 3, 2010 at 0:13 answer added Felipe Voloch timeline score: 3
Sep 2, 2010 at 23:25 answer added Michael Hardy timeline score: 0
Sep 2, 2010 at 23:23 answer added Richard Borcherds timeline score: 12
Sep 2, 2010 at 22:56 comment added Yemon Choi While it seems that the question has attracted interest and answers, since it's also received four votes to close I've set up a thread on meta ( tea.mathoverflow.net/discussion/643/… ) in case it gets closed & people want to debate this
Sep 2, 2010 at 22:50 answer added Joel David Hamkins timeline score: 14
Sep 2, 2010 at 22:47 comment added Yemon Choi Without specifying your category, I can't see how it makes sense to talk of isomorphisms (see stankewicz's comment). Therefore I disagree that this question is analogous to "what is your favourite counterexample?"
Sep 2, 2010 at 22:36 answer added some guy on the street timeline score: 2
Sep 2, 2010 at 22:31 answer added Vamsi timeline score: 7
Sep 2, 2010 at 22:31 answer added Todd Trimble timeline score: 6
Sep 2, 2010 at 22:02 answer added Paul Siegel timeline score: 54
Sep 2, 2010 at 21:58 answer added Tracy Hall timeline score: 7
Sep 2, 2010 at 21:39 answer added Tracy Hall timeline score: 21
Sep 2, 2010 at 21:39 answer added Dan Ramras timeline score: 12
Sep 2, 2010 at 20:43 answer added Martin Bright timeline score: 18
Sep 2, 2010 at 20:23 answer added Dan Piponi timeline score: 11
Sep 2, 2010 at 19:48 comment added Jason Orendorff @stankewicz I'm not sure why this question would draw that comment while "What is your favorite counterexample?" does not. I think both "counterexample" and "isomorphism" are words that everyone's familiar with and which are pretty easy to explain in terms of lower-level primitives (like propositions and quantification on the one hand, or bijections and relations on the other).
Sep 2, 2010 at 19:44 answer added Stefan Geschke timeline score: 7
Sep 2, 2010 at 19:41 answer added Steven Gubkin timeline score: 2
Sep 2, 2010 at 19:29 comment added stankewicz I'm not sure this question makes sense without stating what type of isomorphism you would like to say is important. After all the point of the word "isomorphism" is to say something like "$\mathbf{C}$ is $\mathbf{R}^2$ as a vector space, even though they're not the same as $\mathbf{R}$-algebras" in a shorthand way.
Sep 2, 2010 at 19:29 answer added Tony Huynh timeline score: 25
Sep 2, 2010 at 19:25 comment added Jason Orendorff (...and if I'm to have examples I might as well use the best ones I can find.)
Sep 2, 2010 at 19:23 comment added Jason Orendorff @KConrad Examples help both to explain a new idea and to bring home its importance. And they add interest. It is one thing to tell someone that an isomorphism can collapse two problems into one, and quite another thing to describe a case where it happened.
Sep 2, 2010 at 19:10 answer added Charles Matthews timeline score: 13
Sep 2, 2010 at 19:03 comment added KConrad It is unclear how a list of people's favorite isomorphisms is going to help you explain isomorphisms.
Sep 2, 2010 at 19:02 comment added KConrad I am surprised you're surprised that a book on the history of math doesn't mention isomorphisms. The target audience for a generic history of math treatise wouldn't have the technical background to appreciate the idea. The only reason such books can get away with mentioning Lebesgue integrals (I've seen it in some history of calculus books) is that it can be linked to something the readers have seen, namely the Riemann integral. Isomorphism, by comparison, is off the charts as far as typical students in a history of math class are concerned... (more)
Sep 2, 2010 at 18:57 comment added Robin Chapman This is a duplicate of math.stackexchange.com/questions/3173/… .
Sep 2, 2010 at 18:47 history asked Jason Orendorff CC BY-SA 2.5