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
