- #1

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my question is: if we have M a compact manifold, do we have there necessarily TM compact ?

thnx .

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- Thread starter math6
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- #1

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my question is: if we have M a compact manifold, do we have there necessarily TM compact ?

thnx .

- #2

quasar987

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- #3

mathwonk

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- #4

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thnx for answers are you sure mathwonk for the answers can you give me proof if you can please ?

- #5

- 662

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Aren't those the tautological bundles.?

- #6

- 662

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Never mind, Wonk, I spoke too soon, there is just a vague relation.

- #7

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I am not sure I understood your question, but Projective spaces are compact

because they are the continuous image ( under the quotient map) of the

compact space S^n, and so they are compact.

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