Results 121 to 130 of about 90,057 (293)

Structure theorems for braided Hopf algebras

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley   +1 more source

Underlying functors on fibered manifolds

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
For a product preserving bundle functor on the category of fibered manifolds we describe subordinated functors and we introduce the concept of the underlying functor. We also show that there is an affine bundle structure on product preserving functors on
Miroslav Doupovec
doaj  

Probability measure monad on the category of ultrametric spaces

open access: yesApplied General Topology, 2008
The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact supports) forms a monad in the ...
O.B. Hubal, M.M. Zarichnyi
doaj   +1 more source

Equivariant extensions of *-algebras

open access: yes, 2010
A bivariant functor is defined on a category of *-algebras and a category of operator ideals, both with actions of a second countable group $G$, into the category of abelian monoids. The element of the bivariant functor will be $G$-equivariant extensions
Goffeng, Magnus
core  

On monomorphic topological functors with finite supports

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2012
We prove that a monomorphic functor $F:CompoComp$ with finite supports isepimorphic, continuous,and its maximal $emptyset$-modification $F^circ$ preserves intersections.
Banakh T. O.   +2 more
doaj   +2 more sources

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