Timeline for A topological groupoid structure on a pair $(X,A)$
Current License: CC BY-SA 3.0
21 events
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| S Aug 27, 2016 at 9:52 | history | bounty ended | CommunityBot | ||
| S Aug 27, 2016 at 9:52 | history | notice removed | CommunityBot | ||
| Aug 19, 2016 at 21:56 | comment | added | Todd Trimble | There's no misunderstanding, that is correct. | |
| Aug 19, 2016 at 21:55 | answer | added | Todd Trimble | timeline score: 3 | |
| Aug 19, 2016 at 21:53 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Aug 19, 2016 at 21:51 | comment | added | Ali Taghavi | @ToddTrimble According to the last statment of your comment I would like to compare the situation with the topological group case: We have an space X then we ask is there a topological group structure on X. In this question we do not confirm any operation. No in the topological groupoid setting we have a pair we ask about a topological groupoid structure. So in our question we do not impose any r or s maps: We ask are there range source and composition map making the pair into a groupoid. I think I removed the misunderstanding, yes? | |
| Aug 19, 2016 at 20:43 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| S Aug 19, 2016 at 8:01 | history | bounty started | Ali Taghavi | ||
| S Aug 19, 2016 at 8:01 | history | notice added | Ali Taghavi | Authoritative reference needed | |
| Aug 19, 2016 at 7:24 | history | undeleted | Ali Taghavi | ||
| Aug 15, 2016 at 17:15 | history | deleted | Ali Taghavi | via Vote | |
| Aug 15, 2016 at 15:09 | history | edited | Ali Taghavi |
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| Aug 15, 2016 at 15:03 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Aug 15, 2016 at 14:56 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Aug 15, 2016 at 13:51 | comment | added | Todd Trimble | These sorts of dodges accomplish nothing: in any groupoid, there is a group $\hom(x, x)$ for each object $x$, imposing a heavy homogeneity condition which need not be satisfied in such generality. More importantly, if I am a researcher on this, the first question I ask is: what would the domain and codomain functions $X \to A$ be in terms of the data? I am supposing we are given a retraction $r: X \to A$ of the inclusion $i: A \hookrightarrow X$, but I can't seem to cook up a second function (unless the domain and codomain functions are actually the same). Then what would composition be?? | |
| Aug 15, 2016 at 13:46 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Aug 15, 2016 at 13:42 | comment | added | Ali Taghavi | and X is connected | |
| Aug 15, 2016 at 13:39 | comment | added | Ali Taghavi | @მამუკაჯიბლაძე thank you. What about if we add "Non singleton A"? | |
| Aug 15, 2016 at 13:33 | comment | added | მამუკა ჯიბლაძე | For $A$ a point you are asking whether there is a topological group structure on any compact Hausdorff space, with given point as a unit. Obviously not. | |
| Aug 15, 2016 at 13:31 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Aug 15, 2016 at 13:25 | history | asked | Ali Taghavi | CC BY-SA 3.0 |