On Steenrod ▫$\mathbb{L}$▫-homology, generalized manifolds, and surgeryHegenbarth, Friedrich (Avtor) Repovš, Dušan (Avtor) Poincaré duality complexgeneralized manifoldSteenrod ▫$\mathbb{L}$▫-homologyperiodic surgery spectrum ▫$\mathbb{L}$▫fundamental complex$\mathbb{L}$-homology classQuinn indexThe aim of this paper is to show the importance of the Steenrod construction of homology theories for the disassembly process in surgery on a generalized ▫$n$▫-manifold ▫$X^n$▫, in order to produce an element of generalized homology theory, which is basic for calculations. In particular, we show how to construct an element of the ▫$n$▫th Steenrod homology group ▫$H^{st}_n (X^n, \mathbb{L}^+)$▫, where ▫$\mathbb{L}^+$▫ is the connected covering spectrum of the periodic surgery spectrum ▫$\mathbb{L}$▫, avoiding the use of the geometric splitting procedure, the use of which is standard in surgery on topological manifolds.20202020-05-28 10:36:31Članek v reviji116576sl