Gcd-monoids arising from homotopy groupoids
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DOI: 10.1007/s00233-018-9950-5
Abstract: The interval monoid $$\Upsilon ({P})$$Υ(P) of a poset P is defined by generators [x, y], where $$x\le y$$x≤y in P, and relations $$[x,x]=1$$[x,x]=1, $$[x,z]=[x,y]\cdot [y,z]$$[x,z]=[x,y]·[y,z] for $$x\le y\le z$$x≤y≤z. It embeds into its universal group $$\Upsilon ^{\pm }({P})$$Υ±(P), the interval… read more here.
Keywords: group; homotopy; mathrm; monoid upsilon ... See more keywords