Compositions of equi-dimensional fold maps

Yoshihiro Hirato, and Masamichi Takase. "Compositions of equi-dimensional fold maps." Fundamenta Mathematicae 216.2 (2012): 119-128. <http://eudml.org/doc/282606>.

@article{YoshihiroHirato2012,
abstract = {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.},
author = {Yoshihiro Hirato, Masamichi Takase},
journal = {Fundamenta Mathematicae},
keywords = {fold map; Toda bracket; composition; stable homotopy group; bordism},
language = {eng},
number = {2},
pages = {119-128},
title = {Compositions of equi-dimensional fold maps},
url = {http://eudml.org/doc/282606},
volume = {216},
year = {2012},
}

TY - JOUR
AU - Yoshihiro Hirato
AU - Masamichi Takase
TI - Compositions of equi-dimensional fold maps
JO - Fundamenta Mathematicae
PY - 2012
VL - 216
IS - 2
SP - 119
EP - 128
AB - 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.
LA - eng
KW - fold map; Toda bracket; composition; stable homotopy group; bordism
UR - http://eudml.org/doc/282606
ER -