Mikhail G. Katz

dblp:121/8569 · DBLP profile ↗
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3ranked-venue papers
1as first author
1since 2021 · last 2021
0000-0002-3489-0158ORCID · verified

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 2 · 1 since 2021Graphics, computer vision, multimedia, augmented reality and games · 1 · 1 first-author
YearPublicationVenuePosition
2021 Infinitesimal analysis without the Axiom of Choice
Karel Hrbacek, Mikhail G. Katz
Ann. Pure Appl. Log.2
2018 Minimal Axiomatic Frameworks for Definable Hyperreals with Transfer
abstract
Abstract We modify the definable ultrapower construction of Kanovei and Shelah (2004) to develop a ZF-definable extension of the continuum with transfer provable using countable choice only, with an additional mild hypothesis on well-ordering implying properness. Under the same assumptions, we also prove the existence of a definable, proper elementary extension of the standard superstructure over the reals.
Frederik Herzberg, Vladimir Kanovei, Mikhail G. Katz, Vassily A. Lyubetsky
J. Symb. Log.3
1989 Diameter-Extremal Subsets of Spheres
Mikhail G. Katz
Discret. Comput. Geom.1