Comments on: Young Topology: The fundamental groupoid http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/ Because my LiveJournal is too silly Mon, 15 Mar 2010 18:50:59 +0100 http://wordpress.org/?v=2.8.6 hourly 1 By: Jon http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/comment-page-1/#comment-13803 Jon Wed, 23 May 2007 08:53:22 +0000 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/#comment-13803 Ah, thanks. :) Ah, thanks. :)

]]> By: Michi http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/comment-page-1/#comment-13796 Michi Wed, 23 May 2007 07:51:54 +0000 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/#comment-13796 Jon: Doh! Of course I mean hf homotopic to hg. Jon: Doh! Of course I mean hf homotopic to hg.

]]> By: Jon http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/comment-page-1/#comment-13788 Jon Wed, 23 May 2007 06:13:01 +0000 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/#comment-13788 I'm a bit confused. If h: Y -> Z, and g: X -> Y, then h(f(x)) is in Z, and g(f(x)) makes no sense, since f(x) is in Y, not X. Then saying h(f(x)) is homotopic to g(f(x)) makes no sense. Did you mean h(f(x)) is homotopic to h(g(x))? I’m a bit confused. If h: Y -> Z, and g: X -> Y, then h(f(x)) is in Z, and g(f(x)) makes no sense, since f(x) is in Y, not X. Then saying h(f(x)) is homotopic to g(f(x)) makes no sense. Did you mean h(f(x)) is homotopic to h(g(x))?

]]> By: Carnival of Mathematics VIII « JD2718 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/comment-page-1/#comment-13487 Carnival of Mathematics VIII « JD2718 Sat, 19 May 2007 13:32:14 +0000 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/#comment-13487 [...] but it seems that the majority of contributors have explanations of topics for this edition. Mikki, a professor, visits a high school once a week, and describes the super-challenging problems he [...] [...] but it seems that the majority of contributors have explanations of topics for this edition. Mikki, a professor, visits a high school once a week, and describes the super-challenging problems he [...]

]]> By: Creighton Hogg http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/comment-page-1/#comment-12399 Creighton Hogg Fri, 04 May 2007 15:54:02 +0000 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/#comment-12399 Cool. Yeah, I never really got taken that seriously but otherwise we have pretty similar histories with suddenly discovering how great real math is. I found an old book for a couple of dollars in a used bookstore that went from basic addition to basic multi-variate calculus, and devoured the book after school during the beginning of my sophmore year of highschool. Mathematics is a beautiful subject, and while I've never done as much as you're doing, I try to encourage kids I meet by giving them a glimpse of what real math is like. One of my wife's teenage cousins likes her geometry class, so I spent some time and told her a bit about what happens when you leave Euclidean geometry: the difference between how cylinder's are curved and how sphere's are curved, why you can't giftwrap a basketball, and how it all ties to gravity and the early universe. Cool.
Yeah, I never really got taken that seriously but otherwise we have pretty similar histories with suddenly discovering how great real math is. I found an old book for a couple of dollars in a used bookstore that went from basic addition to basic multi-variate calculus, and devoured the book after school during the beginning of my sophmore year of highschool.
Mathematics is a beautiful subject, and while I’ve never done as much as you’re doing, I try to encourage kids I meet by giving them a glimpse of what real math is like. One of my wife’s teenage cousins likes her geometry class, so I spent some time and told her a bit about what happens when you leave Euclidean geometry: the difference between how cylinder’s are curved and how sphere’s are curved, why you can’t giftwrap a basketball, and how it all ties to gravity and the early universe.

]]> By: Michi http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/comment-page-1/#comment-12398 Michi Fri, 04 May 2007 15:39:47 +0000 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/#comment-12398 Creighton: For one of my reasons to take interested kids VERY seriously, take a look at my post <a href=http://blog.mikael.johanssons.org/archive/2006/04/why-i-keep-organizing-congresses/ rel="nofollow">on why I keep organizing congresses</a> - I have a personal history as the interested kid who got taken seriously, and this is what placed me where I am today. That said, these kids are quite a bit more skilled than I am. I am constantly amazed with the mere fact that they keep up with it. Creighton: For one of my reasons to take interested kids VERY seriously, take a look at my post on why I keep organizing congresses – I have a personal history as the interested kid who got taken seriously, and this is what placed me where I am today.

That said, these kids are quite a bit more skilled than I am. I am constantly amazed with the mere fact that they keep up with it.

]]> By: Creighton Hogg http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/comment-page-1/#comment-12397 Creighton Hogg Fri, 04 May 2007 15:36:38 +0000 http://blog.mikael.johanssons.org/archive/2007/05/young-topology-the-fundamental-groupoid/#comment-12397 Hey, I think it's great that you're helping to teach this stuff to kids. When I was maybe a year older than them, I started teaching myself topology & it was a lot harder than it would have been with other people to talk to. So, on behalf of my younger self, thanks for teaching interested kids. Hey, I think it’s great that you’re helping to teach this stuff to kids. When I was maybe a year older than them, I started teaching myself topology & it was a lot harder than it would have been with other people to talk to. So, on behalf of my younger self, thanks for teaching interested kids.

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