Homotopy classification of ▫$PD_4$▫-complexes relative an order relation

Hegenbarth, Friedrich (author), Pamuk, Mehmetcik (author), Repovš, Dušan (author)

We define an order relation among oriented ▫$PD_4$▫-complexes. We show that with respect to this relation, two ▫$PD_4$▫-complexes over the same complex are homotopy equivalent if and only if there is an isometry between the second homology groups. We also consider minimal objects of this relation.

• Language: English
• Keywords: minimal ▫$PD_4$▫-complex, order relation, symmetric L-group
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2015
• Number of pages: Str. 275-293
• Numbering: Vol. 177, iss. 2
• PID: 20.500.12556/RUL-111305
• UDC: 515.16
• ISSN on article: 0026-9255
• DOI: 10.1007/s00605-014-0716-1
• COBISS.SI-ID: 17194329
• Publication date in RUL: 27.09.2019

Record is a part of a journal

• Title: Monatshefte für Mathematik
• Shortened title: Monatsh. Math.
• Publisher: Springer
• ISSN: 0026-9255
• COBISS.SI-ID: 25976320