20.500.12556/RUL-170756 On the interplay between productively Menger and productively Hurewicz spaces in models of b = d This article is devoted to the interplay between productively Menger and productively Hurewicz subspaces of the Cantor space. In particular, we show that in the Laver model for the consistency of the Borel's conjecture these two notions coincide and characterize Hurewicz spaces. On the other hand, it is consistent with CH that there are productively Hurewicz subspaces of the Cantor space which are not productively Menger. Menger space Hurewicz space Laver forcing CH preservation by products true false true Angleški jezik Angleški jezik Članek v reviji 2025-07-15 08:19:54 2025-07-15 08:19:57 2025-07-18 03:47:08 0000-00-00 00:00:00 2025 0 0 7 str. article no. 109372 Vol. 371 Oct. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-10-01 510.3:515.1 0166-8641 10.1016/j.topol.2025.109372 229531139 1-s2.0-S0166864125001701-main.pdf 1-s2.0-S0166864125001701-main.pdf 1 44D8D178FAA502F5A784C6110120E447 7012deacbaea2e235d43ee0f34b4ef33bdcc64a72cf90806fcca32be1017fcda 5fe8ee3a-6142-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=212929 https://www.sciencedirect.com/science/article/pii/S0166864125001701 1 caabc2c1-6141-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=212928 Fakulteta za matematiko in fiziko Pedagoška fakulteta 0 0 0