Geodesic
Compositions of equi-dimensional fold maps
Yoshihiro Hirato1 ; Masamichi Takase2
1Department of General Education Nagano National College of Technology 716 Tokuma Nagano, 381-8550 Japan
2Faculty of Science and Technology Seikei University 3-3-1 Kichijoji-kitamachi, Musashino Tokyo, 180-8633 Japan
Fundamenta Mathematicae, Tome 216 (2012) no. 2, pp. 119-128
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm216-2-3
Keywords: according andos theorem oriented bordism group fold maps n manifolds n space isomorphic stable n stem among fold maps define geometric operations corresponding composition toda bracket stable stem through andos isomorphism using these operations explicitly construct several fold maps convenient properties including fold map which represents generator stable stem

Yoshihiro Hirato  1   ; Masamichi Takase  2

1 Department of General Education Nagano National College of Technology 716 Tokuma Nagano, 381-8550 Japan
2 Faculty of Science and Technology Seikei University 3-3-1 Kichijoji-kitamachi, Musashino Tokyo, 180-8633 Japan 
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Yoshihiro Hirato; Masamichi Takase. Compositions of equi-dimensional fold maps. Fundamenta Mathematicae, Tome 216 (2012) no. 2, pp. 119-128. doi: 10.4064/fm216-2-3

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