About: Category of compactly generated weak Hausdorff spaces

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In mathematics, the category of compactly generated weak Hausdorff spaces CGWH is one of typically used categories in algebraic topology as a substitute for the category of topological spaces, as the latter has some unpleasant properties. There is also such a category for based spaces, defined by requiring maps to preserve the base points.

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  • In mathematics, the category of compactly generated weak Hausdorff spaces CGWH is one of typically used categories in algebraic topology as a substitute for the category of topological spaces, as the latter has some unpleasant properties. There is also such a category for based spaces, defined by requiring maps to preserve the base points. The articles compactly generated space and weak Hausdorff space define the respective topological properties. For the historical motivation behind these conditions on spaces, see Compactly generated space#Motivation. This article focuses on the properties of the category. (en)
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  • In mathematics, the category of compactly generated weak Hausdorff spaces CGWH is one of typically used categories in algebraic topology as a substitute for the category of topological spaces, as the latter has some unpleasant properties. There is also such a category for based spaces, defined by requiring maps to preserve the base points. (en)
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  • Category of compactly generated weak Hausdorff spaces (en)
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