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math.GN2023
Open images of spaces with a Lusin -base
Mikhail Patrakeev, Vlad Smolin
In [5] we studied spaces with a Lusin -base and -spaces and posed the following question: Does the class of continuous open images of spaces with a Lusin -base equal the c…
math.LO2023
A Self-Reflecting Formal Language
Mikhail Patrakeev
We construct a formal theory, which we call reflectica, whose language possesses the following properties of natural language: it is a self-reflecting language and an intensional l…