| 31. | The mapping a \ mapsto \ delta _ a is a bijection between and this canonical basis.
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| 32. | The bijection that you mention would be given by for all; so your logic is correct.
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| 33. | Any set that can be put into bijection with a group becomes a group via the bijection.
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| 34. | Any set that can be put into bijection with a group becomes a group via the bijection.
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| 35. | The above bijection is given by pullback of that element f \ mapsto f ^ * u.
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| 36. | Then, the " inner condition " requires a bijection property from endomorphisms also to arrays.
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| 37. | Once you know that you cannot have continuity, here is an easy way to get the bijection.
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| 38. | Furthermore,, is a bi-analytic bijection from a neighborhood of in to a neighborhood of.
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| 39. | Let be an orthonormal basis for, and let \ phi : F \ to B be a bijection.
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| 40. | Under this convention all functions are surjections, and so, being a bijection simply means being an injection.
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