Algebraic Homotopy Theory
1981 ◽
Vol 33
(2)
◽
pp. 302-319
◽
Keyword(s):
Kan and Miller have shown in [9] that the homotopy type of a finite simplicial set K can be recovered from its R-algebra of 0-forms A0K, when R is a unique factorization domain. More precisely, if is the category of simplicial sets and is the category of R-algebras there is a contravariant functorwiththe simplicial set homomorphisms from X to the simplicial R-algebra ∇, whereand the faces and degeneracies of ∇ are induced byandrespectively.
Keyword(s):
2015 ◽
pp. 15-27
1969 ◽
Vol 21
◽
pp. 702-711
◽
1966 ◽
Vol 27
(1)
◽
pp. 223-230
◽
2020 ◽
pp. 2150113
◽
1951 ◽
Vol 47
(2)
◽
pp. 279-285
Keyword(s):