Difference between revisions of "Topology Glossary"

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Non-orientability is an intrinsic property of manifolds. In non-orientable surfaces, an object within the surface can travel along a path that will lead it back to its start point, but with its right and left sides flipped.
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Non-orientability is an intrinsic property of <balloon title="Smooth shapes with a set number of dimensions.">manifolds</balloon>. In non-orientable surfaces, an object within the surface can travel along a path that will lead it back to its start point, but with its right and left sides flipped.
  
 
Not all image pages will discuss in depth how non-orientability arises for a particular surface; the phenomenon is discussed, however, for the [[Mobius_Strip#A_More_Mathematical_Explanation|Mobius Strip]] and [[Real_Projective_Plane#A_More_Mathematical_Explanation|Real Projective Plane]].
 
Not all image pages will discuss in depth how non-orientability arises for a particular surface; the phenomenon is discussed, however, for the [[Mobius_Strip#A_More_Mathematical_Explanation|Mobius Strip]] and [[Real_Projective_Plane#A_More_Mathematical_Explanation|Real Projective Plane]].

Revision as of 15:09, 17 June 2011

Non-orientability is an intrinsic property of manifolds. In non-orientable surfaces, an object within the surface can travel along a path that will lead it back to its start point, but with its right and left sides flipped.

Not all image pages will discuss in depth how non-orientability arises for a particular surface; the phenomenon is discussed, however, for the Mobius Strip and Real Projective Plane.