Timeline for Does there exist a complete algebraic invariant of the homotopy type of a finite CW-complex?
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| Apr 15, 2022 at 23:45 | comment | added | Kevin Carlson | @AivazianArshak Yes, silly me, I read "finite set of carriers" as making the carrier(s) it(them)selves finite! Anyway you generously left some wiggle room in inviting answers to variants. We've got "all complexes are not concrete", "finite complexes are concrete", and "finite complexes are not finitely concrete" handled, now perhaps we can get to your actual question, "finite complexes do not embed fully faithfully in models of an finite essentially algebraic theory..." | |
| Apr 15, 2022 at 9:48 | comment | added | Arshak Aivazian | Thanks for your answer, it was helpful for me! But the text of my question does not say that the resulting algebraic objects are finite. Archetypal examples of functors in the style of my question: homotopy groups, homology groups. | |
| Apr 14, 2022 at 1:05 | history | edited | Kevin Carlson | CC BY-SA 4.0 |
added 235 characters in body
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| Apr 14, 2022 at 1:00 | history | answered | Kevin Carlson | CC BY-SA 4.0 |