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We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product of right modules over the operads of little cubes of the appropriate dimension. We also discuss an ...
The purpose of this thesis is to provide an intrinsic proof of a Gauss-Bonnet-Chern formula for complete Riemannian manifolds with finitely many conical singularities and asymptotically conical ends. A geometric invariant is associated to the link of both ...
We consider cyber-physical systems (CPSs) comprising a central controller that might be replicated for high-reliability, and one or more process agents. The controller receives measurements from process agents, causing it to compute and issue setpoints tha ...
Prof. Laloui gave an interview with RTS about the status of geothermal energy in Switzerland in relation to its progression in other countries. Prof. Laloui discussed how the challenges associated with geothermal energy are primarily technical and how the ...
Our objective is to show a possibly interesting structure of homotopic nature appearing in persistent (co)homology. Assuming that the filtration of a simplicial set embedded in induces a multiplicative filtration on the dg algebra of simplicial cochains, w ...
We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi–Yau homogeneous down–up algebras. This family was defined by Benkart and Roby in [3] in their study of differential posets. Our calculations ...
An insertion device (100; 100') for inserting a retinal prosthesis (200) into the eye of a patient comprises: a handle portion (1; 1') arranged to be grasped by a user of the insertion device (100; 100'), a cannula element (12; 12') arranged to be inserted ...
The Cartan formula encodes the relationship between the cup product and the action of the Steenrod algebra in F-p-cohomology. In this work, we present an effective proof of the Cartan formula at the cochain level when the field is F-2. More explicitly, for ...
Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat étale R-algebra are isomorphic. On the other hand, ...