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math.GN2026
Cardinality Bounds for Hausdorff SDL Spaces
Gabriel Fernandes, João Marcelo Maciel Messias
We establish the cardinal inequality \(|X|\leq 2^{t(X)Hψ(X)}\) for every Hausdorff SDL space \(X\), where \(t(X)\) and \(Hψ(X)\) denote the tightness and the Hausdorff pseudocharac…
math.GN2026
Ray and end spaces: characterizations and classification up to homeomorphism
Matheus Duzi, Gabriel Fernandes, Paulo Magalhães Júnior
We provide a combinatorial characterization for pairs of order-theoretic trees with homeomorphic ray spaces, answering an open problem proposed by Kurkofka ad Pitz. This solution i…