Concept
Morphism
Related publications (22)
Cyclic $A_\infty$-algebras and cyclic homology
We provide a new description of the complex computing the Hochschild homology of an -unitary -algebra as a derived tensor product such that: (1) there is a canonical morphism from it to the complex computing the cyclic homology of that was introduced by Ko ...
2023Helical structures with switchable and hierarchical chirality
Chirality is present as a trend of research in biological and chemical communities for it has a significant effect on physiological properties and pharmacological effects. Further, manipulating specific morphological chirality recently has emerged as a pro ...
AMER INST PHYSICS2020Twisting structures and morphisms up to strong homotopy
We define twisted composition products of symmetric sequences via classifying morphisms rather than twisting cochains. Our approach allows us to establish an adjunction that simultaneously generalizes a classic one for algebras and coalgebras, and the bar- ...
2019Object identity determines transsaccadic integration
Very little information is transferred across saccades. It is commonly thought that detailed vision starts mainly anew with each saccade. Here, we show that transsaccadic integration occurs even for very fine grained and unconscious information when object ...
2019Symplectic Model-Reduction with a Weighted Inner Product
Jan Sickmann Hesthaven, Babak Maboudi Afkham
In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the reduced system. In the context of Hamiltonian systems, symplectic model redu ...
2018Combinatorial presentation of multidimensional persistent homology
A multifiltration is a functor indexed by Nr that maps any morphism to a monomorphism. The goal of this paper is to describe in an explicit and combinatorial way the natural Nr-graded R[x(1),...x(r)]-module structure on the homology of a multifiltration of ...
Elsevier2017A Looping-Delooping Adjunction For Topological Spaces
Every principal G-bundle over X is classified up to equivalence by a homotopy class X -> BG, where BG is the classifying space of G. On the other hand, for every nice topological space X Milnor constructed a strict model of its loop space (Omega) over tild ...
Int Press Boston, Inc2017Parametrized K-theory
In nature, one observes that a K-theory of an object is defined in two steps. First a “structured” category is associated to the object. Second, a K-theory machine is applied to the latter category that produces an infinite loop space. We develop a general ...
2013Tensors, Monads And Actions
We exhibit sufficient conditions for a monoidal monad T on a monoidal category C to induce a monoidal structure on the Eilenberg-Moore category C^T that represents bimorphisms. The category of actions in C^T is then shown to be monadic over the base catego ...
Mount Allison University2013