Spheres over fields, their entire rational maps and applications

Spheres over fields, their entire rational maps and applications

The paper summarizes some results on algebraic geometry presence in the homotopy theory. For the homotopy group πm(Sn), denote by πalgm(Sn) its subset of homotopy classes represented by ℝ-entire rational maps Sm→Sn of spheres. The main result of this paper concerns to the study of πn+kalg(Sn) for k=...

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Veröffentlicht in:Trudy Meždunarodnogo geometričeskogo centra 2024-01, Vol.17 (1), p.65-87
1. Verfasser: Golasinski, Marek
Format: Artikel
Sprache:eng
Schlagworte:
algebraic set
coordinate ring
c∞-topology
homotopy group
polynomial (entire rational) map
sphere
suspension
zariski topology
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Beschreibung
Zusammenfassung:The paper summarizes some results on algebraic geometry presence in the homotopy theory. For the homotopy group πm(Sn), denote by πalgm(Sn) its subset of homotopy classes represented by ℝ-entire rational maps Sm→Sn of spheres. The main result of this paper concerns to the study of πn+kalg(Sn) for k=0,...,7.
ISSN:2072-9812
2409-8906
DOI:10.15673/pigc.v17i1.2581