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Results tagged with simplicial-stuff
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user 23571
For questions about simplicial sets, simplicial (co)algebras and simplicial objects in other categories; geometric realization, Dold-Kan correspondence, simplicial resolutions etc.
11
votes
Accepted
Simplicial complexes vs. geometric realization of abstract simplicial complexes
At least in the realm of topology an abstract simplicial complex is equivalent to a topological (or geometric) simplicial complex, and neither of these two notions involves anything about orienting th …
- 20k
9
votes
Accepted
Homology of simplicial complex versus homology of simplicial _set_
There is a problem with your definition of the boundary map $\partial :
C_q(K)\to C_{q-1}(K)$. The formula $\partial _i[v_0,\cdots,v_q]=[v_0,\cdots,v_{i-1},v_{i+1},\cdots,v_q]$ depends on an orderin …
- 20k