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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

18 votes
0 answers
310 views

The analogy between dualizable categories and compact Hausdorff spaces

Efimov has in his recent preprint K-theory and localizing invariants of large categories, Appendix F, a long table of analogies between the categories $\text{Cat}^\text{dual}_\text{st}$ and $\text{Com …
Georg Lehner's user avatar
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14 votes
3 answers
2k views

Is there a universal property characterizing the category of compact Hausdorff spaces?

This is in some sense a follow up to the question asked here Properties of the category of compact Hausdorff spaces To clarify: The category $\text{Prof}$ of profinite sets sits inside the category $\ …
Georg Lehner's user avatar
  • 2,303