9 сентября в 17 30 14 линия В.О., 29, ауд. 201 Zoom (ID 675-315-555, пароль стандартный)
We give a universal property of the well-known Bousfield — Kan R-homology completion functor. Further, it turns out that in any nice infinity category one can associate with every monad M, a completion functor which is characterized as a terminal monad that preserves the image of the given monad M. In addition, we consider the concept of M-nilpotent objects, and pro-M-nilpotent completion. This extends the main properties of the classical BK construction to generalized homology theories, equivariant homology and beyond.
9 сентября в 17 30 14 линия В.О., 29, ауд. 201 Zoom (ID 675-315-555, пароль стандартный)
We give a universal property of the well-known Bousfield — Kan R-homology completion functor. Further, it turns out that in any nice infinity category one can associate with every monad M, a completion functor which is characterized as a terminal monad that preserves the image of the given monad M. In addition, we consider the concept of M-nilpotent objects, and pro-M-nilpotent completion. This extends the main properties of the classical BK construction to generalized homology theories, equivariant homology and beyond.
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