Genera of the Torsion-Free Polyhedra

• Datum: 2013
• Hauptverfasser: Kolesnyk, P. O., Колесник, П. О.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2512
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the genera of polyhedra (finite cell complexes), i.e., the classes of polyhedra such that all their localizations are stably homotopically equivalent. More precisely, we describe the genera of the torsion-free polyhedra of dimensions not greater than 11. In particular, we find the number of...