@article { Gutman20231224, author = "Gutman A.E. and Emelianenkov I.A.", title = "Quasidenseness in $R^N$ and projective parallelotopes", journal = "Sib. Matem. Zh.", year = "2024", volume = "65", number = "2", pages = "258--276", doi = "10.33048/smzh.2024.65.203", language = "russian", annote = "We establish two new criteria for the closedness of Archimedean cones in countable-dimensional locally convex spaces in terms of projective parallelotopes and projective automorphisms. We also answer some open questions about quasidenseness and quasi-interior.", keywords = "Archimedean ordered vector space, locally convex space, weak topology, cone, quasi-interior, quasidense set" }