Results 51 to 60 of about 13,741 (235)

Parity functors

Journal of Knot Theory and Its Ramifications, 2022
A parity is a rule to assign labels to the crossings of knot diagrams in a way compatible with the Reidemeister moves. Parity functors can be viewed as parities which provide to each knot diagram its own coefficient group that contains parities of the crossings.
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The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source

On an Isomorphism of Compactifications of Moduli Scheme of Vector Bundles

Моделирование и анализ информационных систем, 2015
A morphism of the reduced Gieseker - Maruyama moduli functor (of semistable coherent torsion-free sheaves) on the surface to the reduced moduli functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. It is shown that main
N. V. Timofeeva
doaj   +1 more source

Copower functors

Theoretical Computer Science, 2009
AbstractWe give a common generalization of two earlier constructions in [H.P. Gumm, T. Schröder, Monoid-labeled transition systems, Electronic Notes in Theoretical Computer Science 44 (1) (2001) 184–203], that yielded coalgebraic type functors for weighted, resp. fuzzy transition systems.
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Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley   +1 more source

A Data Set of Synthetic Utterances for Computational Personality Analysis

Scientific Data
The computational analysis of human personality has mainly focused on the Big Five personality theory, and the psychodynamic approach is almost nonexistent despite its rich theoretical grounding and relevance to various tasks. Here, we provide a data set
Yair Neuman, Yochai Cohen
doaj   +1 more source

Probabilistic convergence spaces and generalized metric spaces

International Journal of Mathematics and Mathematical Sciences, 1998
The category PPRS(Δ), whose objects are probabilistic pretopological spaces which satisfy an axiom (Δ) and whose morphisms are continuous mappings, is introduced.
Paul Brock
doaj   +1 more source

A Category Theoretic Interpretation of Gandy's Principles for Mechanisms [PDF]

Electronic Proceedings in Theoretical Computer Science, 2019
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

On the Functor ℓ2 [PDF]

, 2013
We study the functor l^2 from the category of partial injections to the category of Hilbert spaces. The former category is finitely accessible, and its homsets are algebraic domains; the latter category has conditionally algebraic domains for homsets.
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The quadratic Fock functor [PDF]

Journal of Mathematical Physics, 2010
We construct the quadratic analog of the boson Fock functor. While in the first order (linear) case all contractions on the 1-particle space can be second quantized, the semigroup of contractions that admit a quadratic second quantization is much smaller due to the nonlinearity.
Luigi Accardi, Ameur Dhahri
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