| 1. | Homotopy does lead to a relation on spaces : homotopy equivalence.
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| 2. | Homotopy does lead to a relation on spaces : homotopy equivalence.
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| 3. | This ambiguity is called the homotopy class of the gradual rotation.
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| 4. | Spaces that are homotopy equivalent to a point are called contractible.
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| 5. | They include examples drawing on homotopy theory ( classifying toposes ).
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| 6. | Homotopy theory is deeply related to the stability of topological defects.
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| 7. | British mathematician and was one of the founders of homotopy theory.
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| 8. | These coordinates only depend on the homotopy class of \ gamma.
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| 9. | The same homotopy category can arise from many different model categories.
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| 10. | He founded ( along with Daniel Quillen ) rational homotopy theory.
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