Compositions of equi-dimensional fold maps

• Autorzy: Yoshihiro Hirato , Masamichi Takase
• Języki publikacji: EN

Abstrakty

EN

According to Ando's theorem, the oriented bordism group of fold maps of n-manifolds into n-space is isomorphic to the stable n-stem. Among such fold maps we define two geometric operations corresponding to the composition and to the Toda bracket in the stable stem through Ando's isomorphism. By using these operations we explicitly construct several fold maps with convenient properties, including a fold map which represents the generator of the stable 6-stem.

Kategorie tematyczne

• 57R35: Differentiable mappings
• 57R45: Singularities of differentiable mappings
• 55Q35: Operations in homotopy groups
• 55Q45: Stable homotopy of spheres

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 216
• Numer: 2
• Strony: 119-128

Daty

wydano

2012

Twórcy

autor

Yoshihiro Hirato

• Department of General Education, Nagano National College of Technology, 716 Tokuma, Nagano, 381-8550 Japan

autor

Masamichi Takase

• Faculty of Science and Technology, Seikei University, 3-3-1 Kichijoji-kitamachi, Musashino, Tokyo, 180-8633 Japan

Identyfikatory

DOI

10.4064/fm216-2-3