Bernstein trace
TL;DR: In this article, the notion of relative trace was introduced, motivated by an observation about the category of vector spaces and linear transformations and built upon the categorical trace of Joyal, Street, and Verity.
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Abstract: We introduce the notion of relative trace which is motivated by an observation about the category of vector spaces and linear transformations and builds upon the categorical trace of Joyal, Street, and Verity. Furthermore, we define a new categorical trace based on a trace formula first introduced by J. Bernstein.
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References
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Categories for the Working Mathematician
Saunders Mac Lane
- 01 Jan 1971
TL;DR: In this article, the authors present a table of abstractions for categories, including Axioms for Categories, Functors, Natural Transformations, and Adjoints for Preorders.
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Produits Tensoriels Topologiques Et Espaces Nucleaires
Alexandre Grothendieck
- 01 Jun 1966
TL;DR: In this paper, Bourbaki implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
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Traced monoidal categories
André Joyal,Ross Street,Dominic Verity +2 more
- 01 Apr 1996
TL;DR: Traced monoidal categories are introduced, a structure theorem is proved for them, and an example is provided where the structure theorem has application as discussed by the authors. But this is not the case for all categories.
554
Strong functors and monoidal monads
TL;DR: In this article, it was shown that there is a 1-1 correspondence between commutative monads and symmetric monoidal monads, and the main computational work needed to construct an equivalence between possible strengths 8tA,B: A c+A c+B+A T +A T ~ B T
320