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1. I added a reference to globular set.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeNov 6th 2012

I have edited globular set a little, trying to prettyfie the exposition mainly. Also added another line or two to the Idea-section and added another reference.

• CommentRowNumber3.
• CommentAuthorDmitri Pavlov
• CommentTimeMar 18th 2019

Is anything known about globular sets in terms of Grothendieck homotopy theory? For instance, is the category of globes a weak test category, a test category, or a strict test category?

2. I’m pretty sure it is provably not a test category. Just now I’m not sure of a reference, I’ll see if I can remember one later.

• CommentRowNumber5.
• CommentAuthorMike Shulman
• CommentTimeMar 19th 2019

That’s what I thought I remembered too, but I don’t know the reference either. My intuition is that the boundary of a globular set is “too simple to encode composition” the way (say) simplices and cubes do.

• CommentRowNumber6.
• CommentAuthorUlrik
• CommentTimeMar 19th 2019

This is discussed in Scholie 8.4.14 in Cisinski’s Astérisque 308.

• CommentRowNumber7.
• CommentAuthorDmitri Pavlov
• CommentTimeMar 19th 2019
• (edited Mar 19th 2019)

Added remarks about the Grothendieck homotopy theory of globes and polyglobes.

• CommentRowNumber8.
• CommentAuthorDmitri Pavlov
• CommentTimeMar 19th 2019

Added remarks about the Grothendieck homotopy theory of globes and polyglobes.

• CommentRowNumber9.
• CommentAuthorDmitri Pavlov
• CommentTimeMar 19th 2019

Trying to add the same material for the third time, it keeps disappearing. What is going on?

• CommentRowNumber10.
• CommentAuthorDmitri Pavlov
• CommentTimeMar 19th 2019

Something is seriously broken on the nLab. It appears that new edits edit the second-to-the-last version instead of the latest one!

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