| Homotopy Category Of Topological Spaces |
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f are homotopic, and f are homotopic, then their compositions f and g are homotopic as well. HTOP IS NOT CONCRETE While the objects of hTop are sets (with additional structure), the morphisms are not actual functions between them, but rather classes of functions. In this way, hTop is a Quotient Category of ''' Top '''. hTop is an example of a category that is not Concretizable . This means that there does not exist a Faithful Forgetful Functor U to the Category Of Sets . LIMITS AND COLIMITS Examples of limits and colimits in hTop include:
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