Results 151 to 160 of about 8,086,442 (367)
Set theory for category theory
, 2008 Questions of set-theoretic size play an essential role in category theory, especially the distinction between sets and proper classes (or small sets and large sets). There are many different ways to formalize this, and which choice is made can have noticeable effects on what categorical constructions are permissible.
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Grassmann’s Dialectics and Category Theory [PDF]
, 1996 In several key connections in his foundations of geometrical algebra, Grassmann makes significant use of the dialectical philosophy of 150 years ago. Now, after fifty years of development of category theory as a means for making explicit some nontrivial general arguments in geometry, it is possible to recover some of Grassmann’s insights and to express
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Molecular Oncology, EarlyView.Using mass cytometry, we analyzed serial blood samples from patients with relapsed epithelial ovarian cancer (EOC) treated with oleclumab–durvalumab combination immunotherapy in the NSGO‐OV‐UMB1/ENGOT‐OV30 trial. Our analysis identified potential predictive, monitoring, and response biomarkers detectable through liquid biopsy. These findings facilitate
Luka Tandaric +11 more
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Teoria kategorii i niektóre jej logiczne aspekty
Zagadnienia Filozoficzne w Nauce, 2018 This article is intended for philosophers and logicians as a short partial introduction to category theory (CT) and its peculiar connection with logic. First, we consider CT itself.
Mariusz Stopa
doaj
Mackey functors from the viewpoint of double category theories [PDF]
arXivLet $G$ be a finite group. In this paper, we first introduce a new notion, so-called the Mackey double category of $G$. Then we prove that the category of Mackey double categories and the category of Mackey functors of $G$ are equivalent.
arxiv
Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer
Molecular Oncology, EarlyView.We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas +15 more
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An informal introduction to dg categories [PDF]
arXiv, 2019 In this informal introduction to dg categories, the slogan is that dg categories are more rudimentary than triangulated categories. We recall some details on the dg quotient category introduced by Bernhard Keller and Vladimir Drinfeld.
arxiv
On the Lusternik-Schnirelmann category in the theory of shape [PDF]
, 1978 Karol Borsuk
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Molecular Oncology, EarlyView.Cancer stem cells are associated with aggressive disease, but a deep characterization of such markers is lacking in endometrial cancer. This study uses imaging mass cytometry to explore putative cancer stem cell markers in endometrial tumors and corresponding organoid models.
Hilde E. Lien +7 more
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Loops in Algol 60 and in category theory [PDF]
, 1974 G. Germano, A. Maggiolo‐Schettini
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