The algebra of conditional sets and the concepts of conditional topology and compactness

Samuel Drapeau, Asgar Jamneshan, Martin Karliczek, Michael Kupper

Type: Article

Publication Date: 2015-12-21

Citations: 44

DOI: https://doi.org/10.1016/j.jmaa.2015.11.057

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Journal of Mathematical Analysis and Applications - View
arXiv (Cornell University) - View - PDF
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+	A noncompact Schauder fixed point theorem in random normed modules and its applications	2024	Tiexin Guo Yachao Wang Hong–Kun Xu George Xianzhi Yuan Goong Chen
+	A decomposition theorem for unitary group representations on Kaplansky–Hilbert modules and the Furstenberg–Zimmer structure theorem	2024	Nikolai Edeko Markus Haase Henrik Kreidler
+	Conditional Systemic Risk Measures	2020	Alessandro Doldi Marco Frittelli
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+	A Fenchel-Moreau theorem for $\bar L^0$-valued functions	2017	Samuel Drapeau Asgar Jamneshan Michael Kupper
+	A perturbational duality approach in vector optimization	2018	Asgar Jamneshan Sorin‐Mihai Grad
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+	Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration	2020	Asgar Jamneshan Terence Tao
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Works Cited by This (35)

Action	Title	Year	Authors
+	Probabilistic Metric Spaces	1983	B. Schweizer A. Sklar
+	Fixed Point Theory in Probabilistic Metric Spaces	2014	Olga Hadžić Endre Pap
+	Sheaves in Geometry and Logic: A First Introduction to Topos Theory	2018	Saunders MacLane Galdós Ieke Moerdijk
+	Sheaves and logic	1979	Michael Fourman Dana Scott
+ PDF Chat	Théorie des Topos et Cohomologie Etale des Schémas	1972	J. L. Verdier B. Saint-Donat Alexandre Grothendieck J.-L. Verdier
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+	Sheaves and conditional sets	2014	Asgar Jamneshan
+	The algebraic structure of finitely generated <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="script">F</mml:mi><mml:mo>,</mml:mo><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-modules and the Helly theorem in random normed modules	2011	Tiexin Guo Guang Shi
+	A comprehensive connection between the basic results and properties derived from two kinds of topologies for a random locally convex module	2009	Tiexin Guo
+	Mathematics and its applications	2005	Shing Tung Yau