Botella de klein pdf

Oclcs webjunction has pulled together information and resources to assist library staff as they consider how to handle. However, there are other topological 3spaces, and in some of the nonorientable examples a klein bottle can be embedded such that it is two. Apr 08, 2019 a klein bottle immersed in threedimensional space. Some of the technologies we use are necessary for critical functions like security and site integrity, account authentication, security and privacy preferences, internal site usage and maintenance data, and to make the.

A copy of the license is included in the section entitled gnu free documentation license. Compactos, sin penetrarse, en una dimension extra, confunden a quien pretenda estar dentro, o quedar fuera. This work is licensed under a creative commons attributionnoncommercialno derivative works 3. This journal is published by the university library system, university of pittsburgh as part of its dscribe digital publishing program and is cosponsored by the university of pittsburgh press. Informally, it is a onesided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside. It is also homeomorphic to a sphere plus two cross caps. A second version of the klein bottle, obtained by moving a lemniscate around a circle. Named after german mathematician felix klein 18491925 who first described such a surface in 1882. Permission is granted to copy, distribute andor modify this document under the terms of the gnu free documentation license, version 1. A klein bottle is homeomorphic to the connected sum of two projective planes. A history of the klein bottle representations until the 1970s, geometry and topology textbooks showed handmade drawings of the klein bottle, which strictly followed the original geometricconstruction givenbyklein,i. In mathematics, it is an example of a nonorientable surface. When embedded in euclidean space, the klein bottle is onesided. Fue construida por killdee scientific glass company entre 2001 y 2003.