Publicado

2024-01-19

Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects

Categorías de haces en categorías monoidales semicartesianas: aspectos lógicos y cohomológicos

Palabras clave:

toposes, sheaves, quantales, monoidal categories (en)
toposes, sheaves, quantales, monoidal categories (es)

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Autores/as

  • Ana Luiza Tenorio University of Sao Paulo
  • Hugo Luiz Mariano University of Sao Paulo

Proceedings ELBC - Short Paper

Proceedings ELBC - Artículo corto

Referencias

Jirí Adámek and Jirí Rosicky, Locally presentable and accessible categories, vol. 189, Cambridge University Press, 1994.

José Goudet Alvim, Caio de Andrade Mendes, and Hugo Luiz Mariano, Q-sets and friends: Categorical constructions and categorical properties, arXiv (2023), no. 2302.03123.

José Goudet Alvim, Q-sets and friends: Regarding singleton and gluing completeness, arXiv (2023), no. 2302.03691.

Francis Borceux, Jiri Rosicky, and Gilberte Van den Bossche, Quantales and C*-algebras, Journal of the London Mathematical Society 2 (1989), no. 3, 398-404.

Marcelo E. Coniglio and Francisco Miraglia, Non-commutative topology and quantales, Studia Logica 65 (2000), no. 2, 223-236.

Brian Day, Note on monoidal localisation, Bulletin of the Australian Mathematical Society 8 (1973), no. 1, 1-16.

Hans Heymans and Isar Stubbe, Grothendieck quantaloids for allegories of enriched categories, Bulletin of the Belgian Mathematical Society - Simon Stevin 19 (2012), no. 5, 859-888.

Peter Johnstone, Topos theory, London Mathematical Society Monographs, Academic Press, London, 1977.

Saunders MacLane and Ieke Moerdijk, Sheaves in geometry and logic: A first introduction to topos theory, Universitext, Springer, New York, 1992.

Martin Mathieu, Towards a sheaf cohomology theory for C*-algebras, Banach Algebras and Applications 2017 (2020), 197-212.

Francisco Miraglia and Ugo Solitro, Sheaves over right sided idempotent quantales, Logic Journal of IGPL 6 (1998), no. 4, 545-600.

Pedro Resende, Groupoid sheaves as quantale sheaves, Journal of Pure and Applied Algebra 216 (2012), no. 1, 41-70.

Félix Cabello Sánchez, Jesús MF Castillo, Willian HG Corrêa, Valentin Ferenczi, and Ricardo García, On the Ext2-problem for Hilbert spaces, Journal of Functional Analysis 280 (2021), no. 4, 108863.

Michael Shulman, Affine logic for constructive mathematics, Bulletin of Symbolic Logic 28 (2022), no. 3, 327-386.

Ana Luiza Tenório, Sheaves on semicartesian monoidal categories and applications in the quantalic case, https://www.teses.usp.br/teses/disponiveis/45/45131/tde-31082023-163143/pt-br.php, 2023.

Ana Luiza Tenório, Caio de Andrade Mendes, and Hugo Luiz Mariano, On sheaves on semicartesian quantales and their truth values, arXiv (2023), no. 2204.08351 v2.

Cómo citar

APA

Tenorio, A. L. y Mariano, H. L. (2023). Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects. Boletín de Matemáticas, 30(2), 25–30. https://revistas.unal.edu.co/index.php/bolma/article/view/112562

ACM

[1]
Tenorio, A.L. y Mariano, H.L. 2023. Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects. Boletín de Matemáticas. 30, 2 (oct. 2023), 25–30.

ACS

(1)
Tenorio, A. L.; Mariano, H. L. Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects. Bol. Matemáticas 2023, 30, 25-30.

ABNT

TENORIO, A. L.; MARIANO, H. L. Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects. Boletín de Matemáticas, [S. l.], v. 30, n. 2, p. 25–30, 2023. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/112562. Acesso em: 24 ago. 2024.

Chicago

Tenorio, Ana Luiza, y Hugo Luiz Mariano. 2023. «Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects». Boletín De Matemáticas 30 (2):25-30. https://revistas.unal.edu.co/index.php/bolma/article/view/112562.

Harvard

Tenorio, A. L. y Mariano, H. L. (2023) «Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects», Boletín de Matemáticas, 30(2), pp. 25–30. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/112562 (Accedido: 24 agosto 2024).

IEEE

[1]
A. L. Tenorio y H. L. Mariano, «Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects», Bol. Matemáticas, vol. 30, n.º 2, pp. 25–30, oct. 2023.

MLA

Tenorio, A. L., y H. L. Mariano. «Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects». Boletín de Matemáticas, vol. 30, n.º 2, octubre de 2023, pp. 25-30, https://revistas.unal.edu.co/index.php/bolma/article/view/112562.

Turabian

Tenorio, Ana Luiza, y Hugo Luiz Mariano. «Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects». Boletín de Matemáticas 30, no. 2 (octubre 11, 2023): 25–30. Accedido agosto 24, 2024. https://revistas.unal.edu.co/index.php/bolma/article/view/112562.

Vancouver

1.
Tenorio AL, Mariano HL. Sheaf Categories on semicartesian monoidal categories: logical and cohomological aspects. Bol. Matemáticas [Internet]. 11 de octubre de 2023 [citado 24 de agosto de 2024];30(2):25-30. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/112562

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