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On Steenrod ▫$\mathbb{L}$▫-homology, generalized manifolds, and surgeryHegenbarth, Friedrich, 1940- ; Repovš, Dušan, 1954-The 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.Source: Proceedings of the Edinburgh Mathematical Society. - ISSN 0013-0915 (Vol. 63, no. 2, May 2020, str. 579-607)Type of material - article, component part ; adult, seriousPublish date - 2020Language - englishCOBISS.SI-ID - 18947417
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source: Proceedings of the Edinburgh Mathematical Society. - ISSN 0013-0915 (Vol. 63, no. 2, May 2020, str. 579-607)
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Hegenbarth, Friedrich, 1940- | 28253 |
Repovš, Dušan, 1954- | 07083 |
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