91 citations
- The Ohio State UniversityUS22 papers
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57 papers
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…
Universal pseudomorphisms, with applications to diagrammatic coherence for braided and symmetric monoidal functors
Nick Gurski, Niles Johnson
This work introduces a general theory of universal pseudomorphisms and develops their connection to diagrammatic coherence. The main results give hypotheses under which pseudomorph…
Multifunctorial -Theory is an Equivalence of Homotopy Theories
Niles Johnson, Donald Yau
We show that each of the three -theory multifunctors from small permutative categories to -categories, -simplicial sets, and connective spectra, is…
Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates
Lijuan Bi, Howard S. Cohl, Hans Volkmer
We derive an expansion for the fundamental solution of Laplace's equation in flat-ring coordinates in three-dimensional Euclidean space. This expansion is a double series of produc…
Multicategories Model All Connective Spectra
Niles Johnson, Donald Yau
There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors…
Multifunctorial Inverse -Theory
Niles Johnson, Donald Yau
We show that Mandell's inverse -theory functor is a categorically-enriched non-symmetric multifunctor. In particular, it preserves algebraic structures parametrized by non-symme…