61. PlanetMath: Manifold Furthermore, a manifold can have global topological properties, such as noncontractible loops, that distinguish it from the topologically trivial http://planetmath.org/encyclopedia/Manifold.html

(more info) Math for the people, by the people. Encyclopedia Requests Forums Docs ... RSS Login create new user name: pass: forget your password? Main Menu sections Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About manifold (Definition) Summary. A manifold is a space that is locally like , however lacking a preferred system of coordinates . Furthermore, a manifold can have global topological properties , such as non-contractible loops , that distinguish it from the topologically trivial Standard Definition. An -dimensional topological manifold is a second countable Hausdorff topological space that is locally homeomorphic to open subsets of A differential manifold is a topological manifold with some additional structure information . A chart , also known as a system of local coordinates , is a mapping , such that the domain is an open set, and such that is homeomorphic to the image . Let and be two charts with overlapping domains . The continuous injection is called a transition function , and also called a a change of coordinates . An atlas is a collection of charts whose domains cover , i.e.

62. Pall Manifold Assemblies A filter manifold incorporates many of the individual components that protect and operate a complex fluid system. A single manifold module typically http://www.pall.com/Aerospace_2935.asp

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