| 21. | But there is in general no natural isomorphism between these two spaces.
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| 22. | Isomorphism classes of elliptic curves are specified by the j-invariant.
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| 23. | An isomorphism is given by ( see Euler's identity ).
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| 24. | Thus, the definition of an isomorphism is quite natural.
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| 25. | Homeomorphisms are the isomorphisms in the category of topological spaces.
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| 26. | In other words, there is a natural isomorphism of bifunctors
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| 27. | An isomorphism between uniform spaces is called a uniform isomorphism.
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| 28. | An isomorphism between uniform spaces is called a uniform isomorphism.
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| 29. | A morphism which is invertible in this sense is called an isomorphism.
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| 30. | There are no other examples ( up to isomorphism ).
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