Norio Iwase

Mailing Adress: Faculty of Mathematics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan
E-mail Adress: iwase_AT__AT_math.kyushu-u.ac.jp

Japanese
Authors.
myself
Conference Proceedings.
Sūrikaisekikenkyūsho Kōkyūroku. 505 (1983), 63-75.
Abstract.
To describe An structures for maps, we first construct Stasheff cells Kn given by an (n-2)-dimensional cell whose faces are decomposed into piecewise linear convex tiles with piecewise linear face operators, by induction. Further we construct cells Γn given by an (n-1)-dimensional cell whose faces are also decomposed into piecewise linear convex tiles with piecewise linear face operators, by induction. We show some properties on maps with higher homotopy associativities as a map-version of Stasheff's theorem obtained in [Stasheff]. These results are extracted from master thesis.

On An structures for maps (adobe-pdf file, 591KB)