A generalization of the density zero ideal

DOI10.1007/s12215-020-00546-xzbMath1481.40001arXiv2005.12355OpenAlexW3044507662MaRDI QIDQ2047476

Sumit Som

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12355

zbMATH Keywords

ideal convergencedensity ideal

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Ideal and statistical convergence (40A35)

Cites Work

• On the relationship between ideal cluster points and ideal limit points
• Erdős-Ulam ideals vs. simple density ideals
• Continuous projections onto ideal convergent sequences
• Properties of simple density ideals
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Abstract densities and ideals of sets
• On the notions of upper and lower density

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