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For example, the cohomology ring of a path-connected H-space with finitely generated and free cohomology groups is a Hopf algebra. Also, one can define the Pontryagin product on the homology groups of an H-space. The fundamental group of an H-space is abelian. To see this, let X be an H-space with identity e and let f and g be loops at e.
Path space fibration. In algebraic topology, the path space fibration over a based space [1] is a fibration of the form [2] where. is the based path space of X; that is, equipped with the compact-open topology. The free path space of X, that is, , consists of all maps from I to X that may not preserve the base points, and the fibration given by ...
v. t. e. Hypertext Transfer Protocol ( HTTP) is an application layer protocol in the Internet protocol suite model for distributed, collaborative, hypermedia information systems. [1] HTTP is the foundation of data communication for the World Wide Web, where hypertext documents include hyperlinks to other resources that the user can easily ...
PATH (formerly known as the Program for Appropriate Technology in Health) is an international, nonprofit global health organization. PATH is based in Seattle with 1,600 employees in more than 70 countries around the world. Its president and CEO is Nikolaj Gilbert, who is also the Managing Director and CEO of Foundations for Appropriate ...
Portal is a series of first-person puzzle-platform video games developed by Valve.Set in the Half-Life universe, the two main games in the series, Portal (2007) and Portal 2 (2011), center on a woman, Chell, forced to undergo a series of tests within the Aperture Science Enrichment Center by a malicious artificial intelligence, GLaDOS, that controls the facility.
Pathfinder.com. Pathfinder was a landing page with links to various Time Inc. websites. In its initial form, Pathfinder was one of the first web portals, created as Time Warner 's entry onto the Internet. The objective of Pathfinder was to be an all-encompassing site that brought the best content from all of Time Warner under one banner.
In mathematics, the term path space refers to any topological space of paths from one specified set into another. In particular, it may refer to: The classical Wiener space of continuous paths. The Skorokhod space of càdlàg paths. For the usage in algebraic topology, see path space (algebraic topology). For Moore's path space, see path space ...
Mean free path. In physics, mean free path is the average distance over which a moving particle (such as an atom, a molecule, or a photon) travels before substantially changing its direction or energy (or, in a specific context, other properties), typically as a result of one or more successive collisions with other particles.