Basic Properties
The bottom Y is a deformation retract of . The projection splits (via ), and a deformation retraction is given by:
(where points in stay fixed, which is well-defined, because for all ).
Read more about this topic: Mapping Cylinder
Famous quotes containing the words basic and/or properties:
“What, then, is the basic difference between today’s computer and an intelligent being? It is that the computer can be made to see but not to perceive. What matters here is not that the computer is without consciousness but that thus far it is incapable of the spontaneous grasp of pattern—a capacity essential to perception and intelligence.”
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