Matches in SemOpenAlex for { <https://semopenalex.org/work/W1648830800> ?p ?o ?g. }
- W1648830800 abstract "We introduce a new algebraic concept of an which is almost commutative (more precisely quasi-commutative differential graded algebra or ADGQ, in French). We associate to any simplicial set X an ADGQ - called D(X) - and show how we can recover the homotopy type of the topological realization of X from this algebraic structure (assuming some finiteness conditions). The theory is sufficiently general to include also ringed spaces X. The construction is by itself interesting since it uses the difference calculus (instead of the differential calculus of Sullivan's theory) and a new type of tensor product, called reduced tensor product. Although we dont have a minimal model yet, it is relatively easy to define the cup i-products and the Steenrod operations on the category of ADGQ's. Homotopy groups can be deduced from the iterated Hochschild homology of D(X). The determination of the homotopy type from this algebraic structure uses in an essential way recent results of M. Mandell." @default.
- W1648830800 created "2016-06-24" @default.
- W1648830800 creator A5015042366 @default.
- W1648830800 date "2005-09-13" @default.
- W1648830800 modified "2023-09-27" @default.
- W1648830800 title "Quasi-commutative cochains in algebraic topology" @default.
- W1648830800 cites W1525312156 @default.
- W1648830800 cites W1988087822 @default.
- W1648830800 cites W1992831671 @default.
- W1648830800 cites W1995908389 @default.
- W1648830800 cites W2001063229 @default.
- W1648830800 cites W2008763835 @default.
- W1648830800 cites W2027549187 @default.
- W1648830800 cites W2039852384 @default.
- W1648830800 cites W2053492560 @default.
- W1648830800 cites W2064521338 @default.
- W1648830800 cites W2068995536 @default.
- W1648830800 cites W2070757732 @default.
- W1648830800 cites W2079879182 @default.
- W1648830800 cites W2081860732 @default.
- W1648830800 cites W21469486 @default.
- W1648830800 cites W2316265374 @default.
- W1648830800 cites W2612451553 @default.
- W1648830800 cites W3107709063 @default.
- W1648830800 cites W3141871949 @default.
- W1648830800 cites W2477067380 @default.
- W1648830800 hasPublicationYear "2005" @default.
- W1648830800 type Work @default.
- W1648830800 sameAs 1648830800 @default.
- W1648830800 citedByCount "0" @default.
- W1648830800 crossrefType "posted-content" @default.
- W1648830800 hasAuthorship W1648830800A5015042366 @default.
- W1648830800 hasConcept C104317684 @default.
- W1648830800 hasConcept C114614502 @default.
- W1648830800 hasConcept C127413603 @default.
- W1648830800 hasConcept C134306372 @default.
- W1648830800 hasConcept C136119220 @default.
- W1648830800 hasConcept C140479938 @default.
- W1648830800 hasConcept C145054310 @default.
- W1648830800 hasConcept C146978453 @default.
- W1648830800 hasConcept C147688034 @default.
- W1648830800 hasConcept C155366967 @default.
- W1648830800 hasConcept C165525559 @default.
- W1648830800 hasConcept C182419690 @default.
- W1648830800 hasConcept C183778304 @default.
- W1648830800 hasConcept C184720557 @default.
- W1648830800 hasConcept C185592680 @default.
- W1648830800 hasConcept C191752858 @default.
- W1648830800 hasConcept C202444582 @default.
- W1648830800 hasConcept C2776648750 @default.
- W1648830800 hasConcept C33923547 @default.
- W1648830800 hasConcept C51255310 @default.
- W1648830800 hasConcept C55493867 @default.
- W1648830800 hasConcept C5961521 @default.
- W1648830800 hasConcept C78606066 @default.
- W1648830800 hasConcept C79236096 @default.
- W1648830800 hasConcept C93226319 @default.
- W1648830800 hasConcept C9376300 @default.
- W1648830800 hasConceptScore W1648830800C104317684 @default.
- W1648830800 hasConceptScore W1648830800C114614502 @default.
- W1648830800 hasConceptScore W1648830800C127413603 @default.
- W1648830800 hasConceptScore W1648830800C134306372 @default.
- W1648830800 hasConceptScore W1648830800C136119220 @default.
- W1648830800 hasConceptScore W1648830800C140479938 @default.
- W1648830800 hasConceptScore W1648830800C145054310 @default.
- W1648830800 hasConceptScore W1648830800C146978453 @default.
- W1648830800 hasConceptScore W1648830800C147688034 @default.
- W1648830800 hasConceptScore W1648830800C155366967 @default.
- W1648830800 hasConceptScore W1648830800C165525559 @default.
- W1648830800 hasConceptScore W1648830800C182419690 @default.
- W1648830800 hasConceptScore W1648830800C183778304 @default.
- W1648830800 hasConceptScore W1648830800C184720557 @default.
- W1648830800 hasConceptScore W1648830800C185592680 @default.
- W1648830800 hasConceptScore W1648830800C191752858 @default.
- W1648830800 hasConceptScore W1648830800C202444582 @default.
- W1648830800 hasConceptScore W1648830800C2776648750 @default.
- W1648830800 hasConceptScore W1648830800C33923547 @default.
- W1648830800 hasConceptScore W1648830800C51255310 @default.
- W1648830800 hasConceptScore W1648830800C55493867 @default.
- W1648830800 hasConceptScore W1648830800C5961521 @default.
- W1648830800 hasConceptScore W1648830800C78606066 @default.
- W1648830800 hasConceptScore W1648830800C79236096 @default.
- W1648830800 hasConceptScore W1648830800C93226319 @default.
- W1648830800 hasConceptScore W1648830800C9376300 @default.
- W1648830800 hasLocation W16488308001 @default.
- W1648830800 hasOpenAccess W1648830800 @default.
- W1648830800 hasPrimaryLocation W16488308001 @default.
- W1648830800 hasRelatedWork W1556900457 @default.
- W1648830800 hasRelatedWork W1899734609 @default.
- W1648830800 hasRelatedWork W1903020562 @default.
- W1648830800 hasRelatedWork W1994061581 @default.
- W1648830800 hasRelatedWork W2275428910 @default.
- W1648830800 hasRelatedWork W2586675498 @default.
- W1648830800 hasRelatedWork W2621111450 @default.
- W1648830800 hasRelatedWork W2788348660 @default.
- W1648830800 hasRelatedWork W2950127627 @default.
- W1648830800 hasRelatedWork W2950921139 @default.
- W1648830800 hasRelatedWork W2963347643 @default.
- W1648830800 hasRelatedWork W2963933397 @default.
- W1648830800 hasRelatedWork W2971742306 @default.