Glasnik Matematicki, Vol. 40, No.1 (2005), 149-175.

PUPPE EXACT SEQUENCE AND ITS APPLICATION IN THE FIBREWISE CATEGORY MAP

Yoshifumi Konami and Takuo Miwa

Department of Mathematics, Shimane University, Matsue 690-8504, Japan
e-mail: miwa@riko.shimane-u.ac.jp

Abstract.   In this paper, we study Puppe exact sequence and its application in the fibrewise category MAP. The application shows that we can prove the generalized formula for the suspension of fibrewise product spaces. Further, introducing an intermediate fibrewise category TOP^H_B, we give an another proof of the original formula in TOP_B using the concepts of TOP^H_B.

2000 Mathematics Subject Classification.   55R70, 55P05, 55R65.

Key words and phrases.   Fibrewise topology, category MAP, fibrewise pointed homotopy, fibrewise pointed cofibration, Puppe exact sequence.

DOI: 10.3336/gm.40.1.14

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