A. Lipin

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math.GN2025

$R^{ω_{1}}$ -Factorizable Spaces and Groups

Anton Lipin, Evgenii Reznichenko, Ol'ga Sipacheva

A topological space $X$ is $R^{ω_{1}}$ -factorizable if any continuous function $f : X \to R^{ω_{1}}$ factors through a continuous function from $X$ to a second-count…

math.GN2025

Resolvability in products and squares

Anton Lipin

Suppose $X$ and $Y$ are topological spaces, $∣ X ∣ = Δ (X)$ and $∣ Y ∣ = Δ (Y)$ . We investigate resolvability of the product $X \times Y$ . We prove that: I. If $∣ X ∣ = ∣ Y ∣ = ω$ and $X, Y$ …

Rω1​-Factorizable Spaces and Groups

Resolvability in products and squares

$R^{ω_{1}}$ -Factorizable Spaces and Groups