20.500.12556/RUL-109515 Simply connected 3-manifolds with a dense set of ends of specified genus We show that for every sequence ▫$(n_i)$▫, where each ▫$n_i$▫ is either an integer greater than 1 or is ▫$\infty$▫, there exists a simply connected open 3-manifold ▫$M$▫ with a countable dense set of ends ▫$\{e_i\}$▫ so that, for every ▫$i$▫, the genus of end ▫$e_i$▫ is equal to ▫$n_i$▫. In addition, the genus of the ends not in the dense set is shown to be less than or equal to 2. These simply connected 3-manifolds are constructed as the complements of certain Cantor sets in ▫$S^3$▫. The methods used require careful analysis of the genera of ends and new techniques for dealing with infinite genus. 3-manifold set wild Cantor set local genus defining sequence exhaustion end true false true Angleški jezik Ni določen Članek v reviji 2019-09-04 15:08:05 2019-09-04 15:08:07 2022-08-21 03:42:39 0000-00-00 00:00:00 2017 0 0 12 str. iss. 3 art. 109 2017 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.124 1660-5446 http://dx.doi.org/10.1007/s00009-017-0907-9 18016345 13561433 RAZ_Garity_Dennis_i2017.pdf RAZ_Garity_Dennis_i2017.pdf 1 06BD18EE95EC82A3319D7B6AE1BE5386 b7d659a10ebd4cb5d8e6f31041955b71044ce377830796e7b8ec04bbced197d0 e419bf71-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121117 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0