Results 61 to 70 of about 888,172 (204)
$\boldsymbol{(n+2)}$-angulated functors induced by $\boldsymbol{n}$-exact functors [PDF]
Let $(\mathcal{A},\mathscr{X})$ and $(\mathcal{A}',\mathscr{X}')$ be two Frobenius $n$-exact categories, and $F\colon\mathcal{A}\to\mathcal{A}'$ be an $n$-exactfunctor. If $F$ sends $\mathscr{X}$-injective objects in $\mathcal{A}$ to $\mathscr{X}'$-injective objects in $\mathcal{A}'$, then it induces an $(n+2)$-angulated functor $\overline{F}\colon ...
Zhou Panyue, Zhang Haicheng
openaire +1 more source
The Yoneda isomorphism commutes with homology
We show that, for a right exact functor from an abelian category to abelian groups, Yoneda's isomorphism commutes with homology and, hence, with functor derivation. Then we extend this result to semiabelian domains.
Peschke, George, Van der Linden, Tim
core +1 more source
Differential cohomology and locally covariant quantum field theory [PDF]
We study differential cohomology on categories of globally hyperbolic Lorentzian manifolds. The Lorentzian metric allows us to define a natural transformation whose kernel generalizes Maxwell's equations and fits into a restriction of the fundamental ...
Becker, Christian +2 more
core +3 more sources
Can we repudiate ontology altogether?
Abstract Ontological nihilists repudiate ontology altogether, maintaining that ontological structure is an unnecessary addition to our theorizing. Recent defenses of the view involve a sophisticated combination of highly expressive but ontologically innocent languages combined with a metaphysics of features—non‐objectual, complete but modifiable states
Christopher J. Masterman
wiley +1 more source
Plato's ideas and Aristotle's real types from the classical age, Nominalism and Realism of the mediaeval period and Whitehead's modern view of the world as pro- cess all come together in the formal representation by category theory of exactness in ...
Heather, Michael, Rossiter, Nick
core
Abstract This paper argues for the significance of Kaplan's logic LD in two ways: first, by looking at how logic got along before we had LD, and second, by using it to bring out the similarity between David Hume's thesis that one cannot deduce claims about the future on the basis of premises only about the past, and the so‐called "essentiality" of the ...
Gillian Russell
wiley +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
3D MR Thermometry Using Bi‐Directional Segmented EPI for Transcranial‐Focused Ultrasound
ABSTRACT Purpose To evaluate the feasibility of replacing clinically utilized 2D thermometry with 3D segmented EPI‐based thermometry with equivalent accuracy, precision, and scan time. Methods A 3D segmented EPI (segEPI) trajectory was modified to allow readouts along both the forward and reverse direction for each phase encoding line, and the sequence
Michael Malmberg +5 more
wiley +1 more source
Analytic vectors in continuous p-adic representations
Given a compact p-adic Lie group G over a finite unramified extension L/Q_p let G_0 be the product over all Galois conjugates of G. We construct an exact and faithful functor from admissible G-Banach space representations to admissible locally L-analytic
Borel +10 more
core +2 more sources
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source

