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  1. ; ; ; ; (, La Matematica)
  2. ; ; (, Proceedings of the American Mathematical Society)
    We give two proofs that the Euler characteristic is multiplicative, for fiber sequences of finitely dominated spaces. This is equivalent to proving that the Becker-Gottlieb transfer is functorial on π_0. 
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  3. ; (, Advances in Mathematics)
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  4. ; (, Theory and applications of categories)
    Shulman, Michael (Ed.)
    Coherence theorems are fundamental to how we think about monoidal categories and their generalizations. In this paper we revisit Mac Lane's original proof of coherence for monoidal categories using the Grothendieck construction. This perspective makes the approach of Mac Lane's proof very amenable to generalization. We use the technique to give efficient proofs of many standard coherence theorems and new coherence results for bicategories with shadow and for their functors. 
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    Accepted Manuscript Full Text Available
  5. ; (, Annals of K-Theory)
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  6. ; (, International Mathematics Research Notices)
    null (Ed.)
    Abstract We answer in the affirmative two conjectures made by Klein and Williams. First, in a range of dimensions, the equivariant Reidemeister trace defines a complete obstruction to removing $$n$$-periodic points from a self-map $$f$$. Second, this obstruction defines a class in topological restriction homology. We prove these results using duality and trace for bicategories. This allows for immediate generalizations, including a corresponding theorem for the fiberwise Reidemeister trace. 
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  7. ; (, Annals of K-Theory)
    null (Ed.)
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