> Roger? Assuming you are talking to me, I can do no better than "Ken's defense": Don't call me a mathematician because it'd offend a real mathematician. http://keiapl.org/anec/#Dickey
----- Original Message ----- From: Kip Murray <[email protected]> Date: Tuesday, August 11, 2009 15:34 Subject: Re: [Jprogramming] J applied to topology To: Programming forum <[email protected]> > I forgot "algebraic" topology (being an an "analyst" myself), > but J and algebra > -: bread and butter so there must be connections. For > algebraic topology see > > http://en.wikipedia.org/wiki/Algebraic_topology > > which begins "Algebraic topology is a branch of mathematics > which uses tools > from abstract algebra to study topological spaces." > > Roger? > > Kip > > > Kip Murray wrote: > > John L. Kelley's classic test General Topology, see > > > > http://www.amazon.ca/gp/reader/0387901256/ref=sib_dp_pt/181- > 1521886-8010840#reader-page > > > > begins in Chapter 0 with an elementary discussion of set > theory and ends with an > > axiomatic treatment in the appendix "ELEMENTARY SET > THEORY". Thus our work in > > thread J Sets has some relation to topology. > > > > Kelley's supremely theoretical book is considered "applied" by > mathematicians > > because it is oriented toward applications in mathematical > analysis, the > > mathematics which grows out of calculus. (Kelley also > deigns to discuss monadic > > versus dyadic notation, for example U A B instead of A U B for > the union of sets > > A and B. The monadic notation can be used in a > parentheses free way.) Thus J's > > applicability to mathematical analysis may be relevant, but I > admit I'm > > "reaching". Besides "set" or "point set" topology > (Kelley) there is "geometric" > > topology where Cliff Reiter's book Fractals, Visualization and > J is rich in J > > connections. > > > > Kip Murray > > > > Tracy Harms wrote: > >> I was recently asked whether J would be advantageous for work in > >> topology. I assume it would, but I'm not able to do justice > to that > >> question. > >> > >> The only J material I've found on the keyword "topology" is > the essay > >> on Isometric Surfaces. > >> > >> If anybody has pointers or comments regarding the use of J for > >> topological calculations, esp. at the level of college > studies, I'll > >> be happy to pass it along. ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
