A Künneth theorem for configuration spaces
نویسندگان
چکیده
We construct a spectral sequence converging to the homology of ordered configuration spaces product parallelizable manifolds. To identify second page this sequence, we introduce version Boardman--Vogt tensor for linear operadic modules, purely algebraic operation. Using rational formality little cubes operads, show that our collapses in characteristic zero.
منابع مشابه
Rademacher’s Theorem on Configuration Spaces and Applications
We consider an L-Wasserstein type distance ρ on the configuration space ΓX over a Riemannian manifold X, and we prove that ρ-Lipschitz functions are contained in a Dirichlet space associated with a measure on ΓX satisfying certain natural assumptions. These assumptions are in particular fulfilled by the classical Poisson measures and by a large class of tempered grandcanonical Gibbs measures wi...
متن کاملVector ultrametric spaces and a fixed point theorem for correspondences
In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.
متن کاملvector ultrametric spaces and a fixed point theorem for correspondences
in this paper, vector ultrametric spaces are introduced and a fixed point theorem is given forcorrespondences. our main result generalizes a known theorem in ordinary ultrametric spaces.
متن کاملA COMMON FIXED POINT THEOREM FOR $psi$-WEAKLY COMMUTING MAPS IN L-FUZZY METRIC SPACES
In this paper, a common fixed point theorem for $psi$-weakly commuting maps in L-fuzzy metric spaces is proved.
متن کاملA self-configuration middleware for smart spaces
The self-configuration process can simplify the complexity and reduce the cost of the management and deployment of devices, applications and services in smart spaces. Mechanisms inspired from the Autonomic Computing and Pervasive Computing can be used to automate management of the heterogeneous space's component. In this paper, we present our work on Autonomic Pervasive Computing and mainly the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2022
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12536