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PreprintCC BY 4.0arXiv

Compactness in Combinatorial Banach Spaces and Beyond

Abstract

In this paper we are going to discuss compactness in combinatorial Banach spaces. After discussing the definition and structure of these spaces, we proceed to propose compactness criteria for them and for their extensions. Finally, we demonstrate their connection with theory of hypergraphs.

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BibTeX
@misc{gulgowski2026compactness,
  title = {{Compactness in Combinatorial Banach Spaces and Beyond}},
  author = {Jacek Gulgowski and Paweł Sawicki},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09810},
  eprint = {2610.09810},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09810},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Compactness in Combinatorial Banach Spaces and Beyond
AU  - Jacek Gulgowski
AU  - Paweł Sawicki
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.09810
UR  - https://arxiv.org/abs/2610.09810
AB  - In this paper we are going to discuss compactness in combinatorial Banach spaces. After discussing the definition and structure of these spaces, we proceed to propose compactness criteria for them and for their extensions. Finally, we demonstrate their connection with theory of hypergraphs.
ER  -