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math.GN2026
Homogeneous linearly ordered spaces
Anton Lipin, Evgenii Reznichenko
Every compact subset of a homogeneous generalized ordered (GO) space has character at most and cardinality at most ; if such a subset has uncountable character, then…
cs.FL2026★ 1 cited
Adversarial Synchronization
Anton E. Lipin, Mikhail V. Volkov
We study a variant of the synchronization game on finite deterministic automata. In this game, Alice chooses one input letter of an automaton on each of her moves while Bob may…