http://www.netvouz.com/narky/tag/property?feed=rss narky's bookmarks tagged "property" on Netvouz http://planetmath.org/encyclopedia/AnyTopologicalSpaceWithTheFixedPointPropertyIsConnected.html Theorem Any topological space with the fixed-point property is connected. Proof. We will prove the contrapositive. .... Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Fri, 27 Apr 2007 04:24:36 GMT http://www.theage.com.au/news/National/Age-journalist-loses-discrimination-case/2004/12/22/1103391832713.html A journalist has failed to prove she was overlooked for pay rises because of an alleged discriminatory "boy's club" culture at The Age newspaper. But Judge Susan Cohen of the Victorian Civil and Administrative Tribunal today found The Age had discriminated against property editor Aileen Keenan by not providing her with a company car, which her predecessors had enjoyed. Political > News narky Wed, 06 Sep 2006 05:41:12 GMT http://en.wikipedia.org/wiki/Fixed_point_property In mathematics, a topological space X has the fixed point property if all continuous mappings from X to X have a fixed point. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:50:22 GMT http://en.wikipedia.org/wiki/Fixed-point_theorem In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms. Results of this kind are amongst the most generally useful in mathematics. The Banach fixed point theorem gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. By contrast, the Brouwer fixed point theorem is a non-constructive result: it says that any continuous function from the closed unit ball in n-dimensional Euclidean space to itself must have a fixed point, but it doesn't describe how to find the fixed point (See also Sperner's lemma). Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:51:32 GMT