20.500.12556/RUL-171742 On geometric representation of ${\mathbb L}$-homology classes In this chapter we give a geometric representation of $H_{n}(B;{\mathbb L})$ classes, where ${\mathbb L}$ is the $4$-periodic surgery spectrum, by establishing a relationship between the normal cobordism classes ${{\mathcal N}}^{H}_{n}(B,\partial)$ and the $n$-th ${\mathbb L}$-homology of $B$, representing the elements of $H_{n}(B;{\mathbb L})$ by normal degree one maps with a reference map to $B$. More precisely, we prove that for every $n \ge 6$ and every finite complex $B$, there exists a map $\Gamma: H_n(B;{\mathbb L}) \longrightarrow {\mathcal N}^{H}_{n}(B,\partial)$. generalized manifolds cell-like map normal degree one map Steenrod L-homology Poincaré duality complex periodic surgery spectrum L geometric representation L-homology classes true false true Angleški jezik Ni določen Neznano 2025-09-01 12:16:31 2025-09-01 12:16:34 2026-05-13 04:51:31 0000-00-00 00:00:00 2025 0 0 Str. 429-436 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.1 10.1007/978-3-031-81414-3_19 244030211 244025347 RAZ_Hegenbarth_Friedrich_2025.pdf RAZ_Hegenbarth_Friedrich_2025.pdf 1 A29511AC340005BCB5BEB381EC4B4181 29843a1067474dbb181b8b805b08bb14f222f8d6854461de563a339dfdd475fa ab394ccd-4dd3-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233712 https://link.springer.com/chapter/10.1007/978-3-031-81414-3_19 1 998144a2-871c-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=215134 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0