have produced an improved version (here) of the schematic illustration of simplicial sets
]]>Added the statement (here) that every simplicial set is the colimit over its simplices – for completeness.
]]>added publication data for:
also rearranged the list of references a little, to order them more logically
]]>Added more sources: May, Lamotke, Joyal-Tierney.
]]>Added several references.
]]>Thanks for the alert! I have fixed it now.
This must be because our sysadmin Richard Williamson just recently made some changes to the parsing of pages. The cause of the problem now was this:
The floating table of contents since the last edit had been coded as
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Homotopy theory
+--{: .hide}
[[!include homotopy - contents]]=--
=--
=--
instead of
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Homotopy theory
+--{: .hide}
[[!include homotopy - contents]]
=--
=--
=--
(as easily happens from copy-and-pasting the ingredients).
Fixed now!
]]>Yes I like it!
]]>Danny Stevenson has kindly sent me a good illustration of the definition, I have added it here
]]>I made some slight changes to this entry changing the title of one section and adding some brief words on cthe relationship between simplicial complexes and simplicial sets.
]]>added two graphics illustrating simplicial sets here.
I am looking for more and better such graphics. Something one could show on slides to give a good quick idea of what simplicial sets (or at least simplicial complexes) are, without actually giving the definition.
]]>As Curtis’s article is now free online, I link its doi and MR number to its reference record:
]]>I added the references
Emily Riehl, A leisurely introduction to simplicial sets, 2008, 14 pages (pdf).
Pierre Gabriel, Michel Zisman, Calculus of fractions and homotopy theory.
What do you think should go at the subsection: As models in homotopy theory as we still have a stub there,
Sorry, I thought it was clear what should go there from the keywords: a brief discussion of how simplicial sets support ordinary homotopy theory as well as directed homotopy theory with pointers to the relevant entries.
]]>added to simplicial set in the Definition section a slightly more explicit version of the definition.
(I see now this kind of thing is repeated further below in the entry. But it should be right there as a formal definition, I think.)
]]>