Results 11 to 20 of about 4,813 (208)

Generalization of singular homology and cohomology to general categories using simplicial methods

, 2023
The purpose of this paper is to explore generalizations of constructions made in algebraic topology. Specifically the singular homology cohomology construction.
Zaahir Ali
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Pre-COVID brain network topology prospectively predicts social anxiety alterations during the COVID-19 pandemic

, 2023
Background: Social anxiety (SA) is a negative emotional response that can lead to mental health issues, which some have experienced during the coronavirus disease 2019 (COVID-19) pandemic. Little attention has been given to the neurobiological mechanisms
Xun Zhang, Song Wang, Nanfang Pan, Xiao Li, Zhang, X, Yang, X, Pan, N, Xun Yang, Graham J. Kemp, Qiyong Gong, Li, X, Kemp, GJ, Qingyuan Li, Wang, S, Gong, Q, Li, Q   +15 more
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Q-functions on quasimetric spaces and fixed points for multivalued maps [PDF]

, 2011
[EN] We discuss several properties of Q-functions in the sense of Al-Homidan et al.. In particular, we prove that the partial metric induced by any T0 weighted quasipseudometric space is a Q-function and show that both the Sorgenfrey line and the ...
Romaguera Bonilla, Salvador, Tirado Peláez, Pedro, J. Marín, P. Tirado, J. Marín, Marín Molina, Josefa, S. Romaguera   +6 more
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I. Carbon-13 Nuclear Magnetic Resonance Spectroscopy of Erythromycin Derivatives. II. Algebraic Chemistry [PDF]

, 1974
I. Carbon-13 Nuclear-Magnetic Resonance Spectroscopy of Erythromycin Derivatives CMR spectra were taken and assigned for a series of erythromycin derivatives.
Nourse, James Gregory
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A Cartan-Eilenberg approach to Homotopical Algebra

, 2010
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences.
Navarro, Vicenç (Navarro Aznar), Roig Martí, Agustín, Navarro, V., Pascual, P., Guillén, F., Navarro Aznar, Vicente, Guillén Santos, Francisco, Pascual Gainza, Pere, Roig, Agustí   +8 more
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Simplicial Data Analysis: theory, practice, and algorithms [PDF]

, 2017
Simplicial complexes store in discrete form key information on a topological space, and have been used in mathematics to introduce combinatorial and discrete tools in geometry and topology.
PATANIA, ALICE, Alice, Patania
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Maximal traces and path-based coalgebraic temporal logics

, 2011
This paper gives a general coalgebraic account of temporal logics whose semantics involves a notion of computation path. Examples of such logics include the logic CTL* for transition systems and the logic PCTL for probabilistic transition systems.
Cirstea, Corina, Corina Cîrstea
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Information Operators in Categorical Information Spaces

, 2010
The general theory of information (GTI) is a synthetic approach, which reveals the essence of information, organizing and encompassing all main directions in information theory.
Mark Burgin
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Free non-archimedean topological groups [PDF]

, 2013
summary:We study free topological groups defined over uniform spaces in some subclasses of the class $\mathbf{NA}$ of non-archimedean groups. Our descriptions of the corresponding topologies show that for metrizable uniformities the corresponding free ...
Megrelishvili, Michael, Shlossberg, Menachem   +1 more
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Generic Infinite Traces and Path-Based Coalgebraic Temporal Logics

, 2010
This paper gives a general coalgebraic account of the notions of possibly infinite trace and possibly infinite execution in state-based, dynamical systems, by extending the generic theory of finite traces and executions developed by Hasuo and coauthors ...
Cirstea, Corina, Corina Cîrstea
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