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Oct 24, 2010 at 15:26 vote accept Greg Kuperberg
Oct 24, 2010 at 15:26 answer added Greg Kuperberg timeline score: 1
Mar 12, 2010 at 5:21 comment added David E Speyer @Noah Those notions of cactus are closely related to the notion of a cactus operad.
Mar 4, 2010 at 1:47 comment added Daniel Moskovich An answer based on a dream last night would be to call such an object a "tiger". Somehow, for me, at least last night in my sleep, a tiger is the image evoked for the object described. It's also unlikely to name-clash with other mathematical objects.
Mar 2, 2010 at 19:08 comment added Mariano Suárez-Álvarez You'll have to refrain making operads with your contractible plane continua...
Mar 2, 2010 at 15:57 answer added Sam Nead timeline score: 3
Mar 2, 2010 at 15:43 comment added Noah Snyder There's also "cactus commutor" and "cactus group" in the work of Henriques-Kamnitzer.
Mar 2, 2010 at 2:55 comment added Qiaochu Yuan My vote is for cactus on the grounds that the best terminology brings to mind the most interesting imagery.
Mar 2, 2010 at 2:07 comment added Petya Greg, forgive me, I have to ask it: Does it smell like a cactus?
Mar 2, 2010 at 1:56 comment added Greg Kuperberg It looks like a cactus, in the sense of an element of the cactus operad, is not all that different from what I want. In that context it is a contractible, planar union of disks. The differences are that each disk has a marked boundary point, the entire cactus has another marked boundary point, and bare edges are not allowed. I'm thinking that these differences are inessential?
Mar 2, 2010 at 0:43 comment added Allen Hatcher As there seems to be no standard term, this is a good chance to invent a new one. Here's a candidate based on only a couple minutes' thought: polydendron. Sort of a variant on polyhedron bringing in the tree idea. A google search produces hits related to polymers, but nothing in math among the top items at least. (There are things called dendrimers, so that could be another possibility. Or just dendron, perhaps.)
Mar 2, 2010 at 0:40 comment added Kevin Walker "Cactus operad" is a fairly standard term for something a bit different from what you are describing.
Mar 2, 2010 at 0:38 comment added Anton Petrunin I vote for Cactus.
Mar 1, 2010 at 23:20 comment added Daniel Moskovich I don't have a good sense of the literature, but I'd argue for n-dendroid (2-dedroid in this case), the same way we call higher-dimensional knots "n-knots". It has the advantage of not cluttering the global name space.
Mar 1, 2010 at 22:48 comment added Mariano Suárez-Álvarez Cactus sounds nice. And you get to pluralize in -i, which always sounds cool...
Mar 1, 2010 at 22:28 history asked Greg Kuperberg CC BY-SA 2.5