Results 51 to 60 of about 837 (183)
Weak Homomorphisms of Coalgebras Beyond Set
We study the notion of weak homomorphisms between coalgebras of different types generalizing thereby that of homomorphisms for similarly typed coalgebras. This helps extend some results known so far in the theory of Universal coalgebra over Set.
Kianpi Maurice
doaj +1 more source
A Category Theoretic Interpretation of Gandy's Principles for Mechanisms [PDF]
Based on Gandy's principles for models of computation we give category-theoretic axioms describing locally deterministic updates to finite objects. Rather than fixing a particular category of states, we describe what properties such a category should ...
Joseph Razavi, Andrea Schalk
doaj +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
25 pages; elaborated on the description of graded Tambara functors and clarified some of the category theory.
Angeltveit, Vigleik, Bohmann, Jonathan
openaire +5 more sources
Information Operators in Categorical Information Spaces
The general theory of information (GTI) is a synthetic approach, which reveals the essence of information, organizing and encompassing all main directions in information theory.
Mark Burgin
doaj +1 more source
An Ecosystem to Develop Multi‐Agent Systems in Real‐World IoT Applications
ABSTRACT Software agents and multi‐agent systems are critical components in the development of distributed autonomous systems, as they exhibit a wide range of “intelligence,” from reactive behaviors to advanced reasoning and planning. Integrating these capabilities into multi‐agent systems enables distributed artificial intelligence, a programming ...
Davide Carnemolla +3 more
wiley +1 more source
Revisiting (∞,2)${(\infty,2)}$‐naturality of the Yoneda embedding
Abstract We show that the Yoneda embedding ‘is’ (∞,2)$(\infty,2)$‐natural with respect to the functoriality of presheaves via left Kan extension, refining the (∞,1)$(\infty,1)$‐categorical result proven independently by Haugseng–Hebestreit–Linskens–Nuiten and Ramzi, and answering a question of Ben‐Moshe.
Tobias Lenz
wiley +1 more source
A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds
Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
wiley +1 more source
Skein theory for the Links–Gould polynomial
Abstract Building further on work of Marin and Wagner, we give a cubic braid‐type skein theory of the Links–Gould polynomial invariant of oriented links and prove that it can be used to evaluate any oriented link, adding this polynomial to the list of polynomial invariants that can be computed by skein theory. As a consequence, we prove that this skein
Stavros Garoufalidis +5 more
wiley +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source

