Friedrich Hegenbarth (Author), Dušan Repovš (Author)

Abstract

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 ▫$\Gamma: H_n(B;{\mathbb L}) \longrightarrow {\mathcal N}^{H}_{n}(B,\partial)$▫.

Keywords

generalized manifolds;cell-like map;normal degree one map;Steenrod L-homology;Poincaré duality complex;periodic surgery spectrum L;geometric representation;L-homology classes;

Data

Language: English
Year of publishing:
Typology: 1.16 - Independent Scientific Component Part or a Chapter in a Monograph
Organization: UL PEF - Faculty of Education
UDC: 515.1
COBISS: 244030211 Link will open in a new window
Views: 101
Downloads: 31
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Other data

Secondary language: Unknown
Type (COBISS): Other
Pages: Str. 429-436
ID: 27306122