Timeline for Weakened notion of extremal epimorphism?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 23, 2011 at 21:30 | vote | accept | Sergei Akbarov | ||
| Nov 23, 2011 at 14:40 | answer | added | Boris Novikov | timeline score: 4 | |
| Nov 23, 2011 at 8:46 | comment | added | Martin Brandenburg | Thanks for the background. I strongly believe that there are counterexamples, but I haven't found one. After all, it may happen that every epi is an iso? What about considering categories given by generators and relations, perhaps even finite ones? | |
| Nov 22, 2011 at 22:37 | comment | added | Sergei Akbarov | Of course, this must be the same in some categories. For example, in Abelian categories, or, more generally, in categories where every morphism $f$ can be represented as a composition $f=m\circ g\circ e$, with $m$ a strong monomorphism, $e$ a strong epimorphism, and $g$ a bimorphism (see details in arxiv.org/abs/1110.2013, Theorem 1.3; unfortunately, in Russian). But I do not know counterexamples at all. Perhaps, these definitions are equivalent in any category? | |
| Nov 22, 2011 at 21:33 | comment | added | Martin Brandenburg | Which categories have you tried so far? | |
| Nov 22, 2011 at 20:13 | history | edited | Sergei Akbarov | CC BY-SA 3.0 |
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| Nov 22, 2011 at 19:47 | history | asked | Sergei Akbarov | CC BY-SA 3.0 |