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- W2025939801 abstract "Soit (X,Y) un couple polyédral (voir conventions) tel que X admette une base dénombrable d'ouverts. Nous relions la profondeur homotopique de X le long de Y au degré de connexité du couple (X,XY) (conjecture de Grothendieck). En particulier, nous obtenons une relation entre la profondeur homotopique rectifiée et la profondeur homotopique rectifiée globale des espaces analytiques complexes. Let (X,Y) be a polyhedral pair (see conventions) such that X is second countable. We give a relation between the homotopical depth of X along Y and the degree of connectivity of the pair (X,XY) (a conjecture of Grothendieck). In particular, we obtain a relation between the rectified homotopical depth and the global rectified homotopical depth of a complex analytic space." @default.
- W2025939801 created "2016-06-24" @default.
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- W2025939801 date "2000-11-01" @default.
- W2025939801 modified "2023-09-25" @default.
- W2025939801 title "Profondeur homotopique et conjecture de Grothendieck" @default.
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- W2025939801 doi "https://doi.org/10.1016/s0012-9593(00)01054-5" @default.
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