On Sun, 04 May 2008 23:49:57 EDT, amu <amu786la@yahoo.com> wrote: is this right proof Proof of what? It can't be a correct proof of the statement "Let X,Y be topological spaces. Consider Z = X x Y and the product topology genearted by the projections p_x, p_y. Let A be a subset of Z. Suppose that X,Y are locally path connected. Show that A is connected if and only if A is path connected
In article <12420190.1209774828799.JavaMail.jakarta@nitrogen.mathforum.org>, amu <amu786la@yahoo.com> wrote: Let X,Y be topological spaces. Consider Z = X x Y and the product topology genearted by the projections p_x, p_y. Let A be a subset of Z. Suppose that X,Y are locally path connected. Show that A is connected if and only if A is path connected. Consider A = { (x, sin(1/x)
From Osher Doctorow In reference to 242.2, recall (e.g., Edwin Hewitt and Karl Stromberg, Real and Complex Analysis, Springer-Verlag: N.Y. 1965) that a topological space is Hausdorff is every pair of distinct points have disjoint neighborhoods. Locally compact (every point has a neighborhood with compact closure) Hausdorff spaces are among the main spaces for Real Analysis, and almost the
On 8 Feb., 15:10, "David.Fail...@gmail.com" <David.Fail...@gmail.com> wrote: On Feb 8, 6:33 am, David C. Ullrich <dullr...@sprynet.com> wrote: On Thu, 7 Feb 2008 17:17:14 -0800 (PST), "David.Fail...@gmail.com" <David.Fail...@gmail.com> wrote: On Feb 7, 6:53 pm, The World Wide Wade <aderamey.a...@comcast.net> wrote: In article <7ff5bd92-9576-4a6e
