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math.CA2026
Sufficient Conditions for Strong Natural Boundaries involving Lacunary Sequences
Rafael Reno S. Cantuba
The notion of a regular point is extended to that of a weak regular point, and so the notion of a strong natural boundary may be described locally as the absence of weak regular po…
math.CA2023
Littlewood's principles in reverse real analysis
Rafael Reno S. Cantuba
If local forms of Littlewood's three principles are stated as axioms for an ordered field, then each principle is equivalent to the completeness axiom.
math.CA2023
Compactness Arguments in Real Analysis
Rafael Cantuba
Theorems crucial in elementary real function theory have proofs in which compactness arguments are used. Despite the introduction in relatively recent literature of each new highly…