A. Lipin

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20232026

most citedAdversarial Synchronization

1 citations · 1 across the 9 of their papers we have counts for

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math.GN2023

On resolvability, connectedness and pseudocompactness

Anton Lipin

We prove that: I. If $L$ is a $T_{1}$ space, $∣ L ∣ > 1$ and $d (L) \leq κ \geq ω$ , then there is a submaximal dense subspace $X$ of $L^{2^{κ}}$ such that $∣ X ∣ = Δ (X) = κ$ ; II. If $\frak{c}\leqκ…

math.GN2023

Resolvability and complete accumulation points

A. E. Lipin

We prove that: I. For every regular Lindelöf space $X$ if $∣ X ∣ = Δ (X)$ and $cf ∣ X ∣ \neq = ω$ , then $X$ is maximally resolvable; II. For every regular countably compact space $X$ i…