岩 瀬 則 夫 (いわせ のりお)

郵便宛て先:〒819-0395 福岡市 西区 元岡744 九州大学 数理学研究院
電子メール:iwase_AT_math.kyushu-u.ac.jp

English

Authors.
myself
Conference Proceedings.
Sūrikaisekikenkyūsho Kōkyūroku. 505 (1983), 63-75.
Abstract.
To describe An structures for maps, we first construct Stasheff cells Kn, each of which is 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, each of which is 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 my master thesis.

写像の An 構造について (adobe-pdf file, 591KB)