Zobrazeno 1 - 10
of 779
pro vyhledávání: '"Lucatelli, P"'
Effective descent morphisms, originally defined in Grothendieck descent theory, form a class of special morphisms within a category. Essentially, an effective descent morphism enables bundles over its codomain to be fully described as bundles over it
Externí odkaz:
http://arxiv.org/abs/2410.22876
We study the categorical structure of the Grothendieck construction of an indexed category $\mathcal{L}:\mathcal{C}^{op}\to\mathbf{CAT}$ and characterise fibred limits, colimits, and monoidal structures. Next, we give sufficient conditions for the mo
Externí odkaz:
http://arxiv.org/abs/2405.07724
Publikováno v:
Theory Appl. Categ. 41(16):516-530, 2024
We investigate the properties of lax comma categories over a base category $X$, focusing on topologicity, extensivity, cartesian closedness, and descent. We establish that the forgetful functor from $\mathsf{Cat}//X$ to $\mathsf{Cat}$ is topological
Externí odkaz:
http://arxiv.org/abs/2405.03773
We consider the canonical pseudodistributive law between various free limit completion pseudomonads and the free coproduct completion pseudomonad. When the class of limits includes pullbacks, we show that this consideration leads to notions of extens
Externí odkaz:
http://arxiv.org/abs/2405.02185
Autor:
Lucatelli, G., Beswick, R., Moldon, J., Pérez-Torres, M. Á., Conway, J. E., Alberdi, A., Romero-Cañizales, C., Varenius, E., Klöckner, H. -R., Barcos-Muñoz, L., Bondi, M., Garrington, S. T., Aalto, S., Baan, W. A., Pihlstrom, Y. M.
Disentangling the radio flux contribution from star formation (SF) and active-galactic-nuclei (AGN) activity is a long-standing problem in extragalactic astronomy, since at frequencies of $\lesssim$ 10 GHz, both processes emit synchrotron radiation.
Externí odkaz:
http://arxiv.org/abs/2403.16872
We delve into the concept of categories with products that distribute over coproducts, which we call doubly-infinitary distributive categories. We show various instances of doubly-infinitary distributive categories aiming for a comparative analysis w
Externí odkaz:
http://arxiv.org/abs/2403.10447
Autor:
Beth Whittington, Evangelos Tzolos, Shruti Joshi, Rong Bing, Jack Andrews, Krithika Loganath, Neil Craig, Craig Balmforth, Laura Clark, Christophe Lucatelli, Mark G MacAskill, Adriana A. S. Tavares, Tim Clark, Nicholas L. Mills, Jennifer Nash, Damini Dey, Piotr J. Slomka, Norman Koglin, Andrew W. Stephens, Marc R. Dweck, Michelle C. Williams, William Whiteley, Edwin J. R. van Beek, Joanna M. Wardlaw, David E. Newby
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract 18F-GP1 is a novel highly specific radiotracer that binds to activated platelets and thrombus. We aimed to establish the observer repeatability of coronary, carotid and cerebral 18F-GP1 uptake in patients presenting with acute myocardial inf
Externí odkaz:
https://doaj.org/article/194b1bf42855456291d6ae2505b2b1c3
Via the adjunction $ - \boldsymbol{\cdot} 1 \dashv \mathcal V(1,-) \colon \mathsf{Span}(\mathcal V) \to \mathcal V \text{-} \mathsf{Mat} $ and a cartesian monad $ T $ on an extensive category $ \mathcal V $ with finite limits, we construct an adjunct
Externí odkaz:
http://arxiv.org/abs/2309.08084
Autor:
Ormerod, K., Conselice, C. J., Adams, N. J., Harvey, T., Austin, D., Trussler, J., Ferreira, L., Caruana, J., Lucatelli, G., Li, Q., Roper, W. J.
We present the results of a size and structural analysis of 1395 galaxies at $0.5 \leq z \lesssim 8$ with stellar masses $\log \left(M_* / M_{\odot}\right)$ $>$ 9.5 within the JWST Public CEERS field that overlaps with the HST CANDELS EGS observation
Externí odkaz:
http://arxiv.org/abs/2309.04377
Publikováno v:
Quaestiones Mathematicae, 46:sup1, 145-159 (2023)
Let $\mathsf{Ord} $ be the category of (pre)ordered sets. Unlike $\mathsf{Ord}/X$, whose behaviour is well-known, not much can be found in the literature about the lax comma 2-category $\mathsf{Ord} //X$. In this paper we show that the forgetful func
Externí odkaz:
http://arxiv.org/abs/2212.13541