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. >> >> -- >> Tracy >> ---------------------------------------------------------------------- >> For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
