Abstract I propose an account of the model-based structure present-day high energy physics experiments in which relations among theoretical, experimental and simulation models constitute a non-linear that is akin to network (NoM). argue while proposed NoM subsumes Suppes’ hierarchy (HoM) as characterization inference leading from data validity or invalidity hypothesis tested experiment, it invo...

Let $${\mathcal {C}}$$ be an n-angulated category. We prove that its idempotent completion $$\widetilde{{\mathcal {C}}}$$ admits a unique structure such the canonical functor $$\iota : {\mathcal {C}}\rightarrow \widetilde{{\mathcal is n-angulated. Moreover, $$ induces equivalence $$Hom _{n-ang }(\widetilde{{\mathcal {C}}},{\mathcal {D}})\cong Hom }({\mathcal {C}},{\mathcal {D}})$$ for any c...

Consider the space Hom(Z n , G) of pairwise commuting n-tuples of elements in a compact Lie group G. This forms a real algebraic variety, which is generally singular. In this paper, we construct a desingulariza-tion of the generic component of Hom(Z n , G), which allows us to derive formulas for its singular and equivariant cohomology in terms of the Lie algebra of a maximal torus in G and the ...

Fix a one-dimensional group variety G with Euler–characteristic χ(G) = 0, and a quasi–projective variety Y , both defined over C. For any f ∈ Hom(Y, G) and constructible sheaf F on Y , we construct an invariant cF (f) ∈ G, which provides substantial information about the topology of the fiber–structure of f and the structure of F along the fibers of f . Moreover, cF : Hom(Y,G)→ G is a group hom...

This article deals with vector valued diierential forms on C 1-manifolds. As a generalization of the exterior product, we introduce an operator that combines Hom(N s (W); Z)-valued forms with Hom(N s (V); W)-valued forms. We discuss the main properties of this operator such as (multi)linearity, associa-tivity and its behavior under pullbacks, push-outs, exterior diierentiation of forms, etc. Fi...

Using the emulsion method, we measured the homogeneous nucleation temperature depression, DeltaT(f,hom), and equilibrium melting points depression, DeltaT(m), of various aqueous solutions and then calculated lambda for each solute using the linear relationship DeltaT(f,hom) = lambdaDeltaT(m). We defined lambda as the solute-specific supercooling capacity and examined its correlation with some k...