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In the same vein as your Gromov-Hausdorff example, the set of all isomorphism classes of finitely generated monoids is a monoid under direct sum. And thisthis recent MO question concerns the skeleton-of-the-category of all skeletons-of-categories.

In the same vein as your Gromov-Hausdorff example, the set of all isomorphism classes of finitely generated monoids is a monoid under direct sum. And this recent MO question concerns the skeleton-of-the-category of all skeletons-of-categories.

In the same vein as your Gromov-Hausdorff example, the set of all isomorphism classes of finitely generated monoids is a monoid under direct sum. And this recent MO question concerns the skeleton-of-the-category of all skeletons-of-categories.

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Martin Brandenburg
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In the same vein as your Gromov-Hausdorff example, the set of all isomorphism classes of finitely generated monoids is a monoid under direct sum. And this recent MO question concerns the skeleton-of-the-category of all skeletons-of-categories.

In the same vein as your Gromov-Hausdorff example, the set of all isomorphism classes of monoids is a monoid under direct sum. And this recent MO question concerns the skeleton-of-the-category of all skeletons-of-categories.

In the same vein as your Gromov-Hausdorff example, the set of all isomorphism classes of finitely generated monoids is a monoid under direct sum. And this recent MO question concerns the skeleton-of-the-category of all skeletons-of-categories.

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Steven Landsburg
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In the same vein as your Gromov-Hausdorff example, the set of all isomorphism classes of monoids is a monoid under direct sum. And this recent MO question concerns the skeleton-of-the-category of all skeletons-of-categories.