Results 41 to 50 of about 94,018 (202)

On Adjoint Dynamical Systems [PDF]

open access: yes, 1973
Transformations of dynamical systems and organismic structures are discussed in terms of adjoint, simple adjoint and weak adjoint functors of organismic supercategories during development and evolution of organisms on markedly different timescales.
Baianu, Prof. Dr. I. C.   +1 more
core   +1 more source

On Dynamical Adjoint Functor [PDF]

open access: yesApplied Categorical Structures, 2011
We give an explicit formula relating the dynamical adjoint functor and dynamical twist over nonalbelian base to the invariant pairing on parabolic Verma modules. As an illustration, we give explicit $U(sl(n))$- and $U_\hbar(sl(n))$-invariant star product on projective spaces.
openaire   +5 more sources

Frobenius reciprocity and the Haagerup tensor product [PDF]

open access: yes, 2017
In the context of operator-space modules over C*-algebras, we give a complete characterisation of those C*-correspondences whose associated Haagerup tensor product functors admit left adjoints.
Crisp, Tyrone
core   +3 more sources

Adjoint functor theorems for ∞‐categories [PDF]

open access: yesJournal of the London Mathematical Society, 2019
v1: 21 pages; v2: updated the references, minor changes; v3: 22 pages, changed the terminology from "final" to "coinitial" functors, added three further Corollaries 4.1.5, 5.1.4 and 5.1.5, additional minor changes, accepted for publication in the Journal of the London Mathematical ...
Hoang Kim Nguyen   +2 more
openaire   +3 more sources

The monoidal Eilenberg-Moore construction and bialgebroids [PDF]

open access: yes, 2002
Monoidal functors U:C --> M with left adjoints determine, in a universal way, monoids T in the category of oplax monoidal endofunctors on M. Such monads will be called bimonads.
Szlachanyi, K.
core   +3 more sources

Calculus of functors and model categories II [PDF]

open access: yes, 2014
This is a continuation, completion, and generalization of our previous joint work with B. Chorny. We supply model structures and Quillen equivalences underlying Goodwillie's constructions on the homotopy level for functors between simplicial model ...
Biedermann, Georg, Röndigs, Oliver
core   +1 more source

Topological spaces versus frames in the topos of $M$-sets [PDF]

open access: yesCategories and General Algebraic Structures with Applications
In this paper we study topological spaces, frames, and their confrontation in the presheaf topos of $M$-sets for a monoid $M$. We introduce the internalization, of the frame of open subsets for topologies, and of topologies of points for frames, in our ...
Mojgan Mahmoudi, Amir H. Nejah
doaj   +1 more source

Separation Axioms in Intuitionistic Fuzzy Topological Spaces

open access: yesAdvances in Fuzzy Systems, 2012
In this paper we have studied separation axioms , in an intuitionistic fuzzy topological space introduced by Coker. We also show the existence of functors and and observe that is left adjoint to .
Amit Kumar Singh, Rekha Srivastava
doaj   +1 more source

The Heteromorphic Approach to Adjunctions: Theory and History

open access: yesMathematics
Mallios and Zafiris emphasize that adjoint functors, or adjunctions, are not only “ubiquitous” in category theory but also characterize the naturality of their approach to physical geometry.
David Ellerman
doaj   +1 more source

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