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October 30th, 2009, 06:40 PM   #1
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what is the difference? cartesian product tensor product etc

hi guys! when dealing with linear spaces one often bumps into having to define those merging of spaces... what to use?

is tensor product analogue to cartesian product, but with some extra properties?
and what about direct sum? and other operations?

for example, the tangent bundle TS^1of the circle S^1.
that is homeomorphic to what, S^1 x R? or would that be S^1 tensor R? or something else?

thank you so much.
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