fugru The Klein Bottle Click To Watch The Klein Bottle is a surface on which you can move from outside to inside without crossing an edge. This shows that inside and outside...   Uploaded: November 8, 2006 at 5:56 pm Author: bothmer   Length: 01:23 Rating: 4.48 Views: 119531   Tags: advent  bothmer  bottle  calendar  cg  fugru  geometry  glue  klein  mathematics  moebius  strip  topology     Gluing a Torus Click To Watch Gluing is a good method to construct new topological spaces from known ones. Here a rectangles is glued along the edges to form a torus.Often...   Uploaded: November 8, 2006 at 5:54 pm Author: bothmer   Length: 00:54 Rating: 4.71 Views: 10127   Tags: bothmer  cg  fugru  glue  glueing  kampen  mathematics  seifert  topology  torus  van     The fundamental Group of the Torus is abelian Click To Watch This video illustrates the proof of the Theorem in the title. The proof goes like this: Consider a rectangle. Then the path going up the...   Uploaded: November 8, 2006 at 6:08 pm Author: bothmer   Length: 01:33 Rating: 4.62 Views: 16212   Tags: abelian  bothmer  cg  fugru  fundamental  group  homotopy  math  path  topology  torus     Compactness and Stereographic Projection Click To Watch Here the stereographic projection of the sphere to the plane is illustrated. Also a proof that the plane is not compact is shown:Proof: Consider equally...   Uploaded: November 8, 2006 at 6:00 pm Author: bothmer   Length: 01:57 Rating: 4.63 Views: 6842   Tags: bothmer  cg  compact  fugru  infinity  mathematics  projection  stereographic  topology     Open sets Click To Watch This video illustrates operations on open sets (symbolized by burning objects). The fire symbolizes that open sets have no border. The union of two open...   Uploaded: November 8, 2006 at 6:03 pm Author: bothmer   Length: 00:44 Rating: 4.55 Views: 5945   Tags: bothmer  cg  fugru  intersection  mathematics  open  set  topology  union     Not a homeomorphism Click To Watch Here an operation on a rectangle is shown that is not a homeomorphism. Punching a hole in a topological space is not bi-continuous. After the...   Uploaded: November 8, 2006 at 6:01 pm Author: bothmer   Length: 00:39 Rating: 4.33 Views: 2132   Tags: bothmer  fire  fugru  homeomorphism  mathematics  topology     Gluing a Sphere Click To Watch Gluing is a good method to construct new topological spaces from known ones. Here two rectangles are glued to form a sphere.Often the fundamental group...   Uploaded: November 8, 2006 at 5:55 pm Author: bothmer   Length: 00:53 Rating: 4.00 Views: 3721   Tags: bothmer  cg  fugru  glue  glueing  Kampen  mathematics  Seifert  sphere  topology  van     Null-homotopic Paths Click To Watch A path is called null homotopic, if it can be contracted to a point.This Video was produces for a topology seminar at the Leibniz Universitaet...   Uploaded: November 8, 2006 at 5:57 pm Author: bothmer   Length: 00:49 Rating: 4.00 Views: 1257   Tags: bothmer  cg  fugru  homotopy  mathematics  path  topology     Coverings of the Circle Click To Watch A covering of a topological space X is a topological space Y together with a continuous surjective map from X to Y that is locally...   Uploaded: November 8, 2006 at 6:02 pm Author: bothmer   Length: 02:20 Rating: 4.77 Views: 4988   Tags: bothmer  cg  circle  covering  fugru  fundamental  group  mathematics  spiral  topology  universal     The fundamental Group Click To Watch This video illustrated the construction of the fundamental Group of a topological space.Inside a topological space (symbolized by the brown box) we consider paths. Paths...   Uploaded: November 8, 2006 at 6:05 pm Author: bothmer   Length: 01:53 Rating: 4.29 Views: 3640   Tags: addition  bothmer  cg  element  fugru  fundamental  group  inverse  mathematics  neutral  path  topology     Relevance Last update date View Count Rating 1 2 Next

The new 2008 Toyota FJ Cruiser seats five and comes in two-tone with a Voodoo Blue, Titanium Metallic, Black Diamond, Sun Fusion, Sandstorm or Brick body color and White top. The interior fabric color is Dark Charcoal, while the dash, center instrument panel trim and the door inserts match the body.

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