The sequences of the sheaves of homotopy groups

Authors : Ayhan ŞERBETÇİ

Pages : 0-0

Doi:10.1501/Commua1_0000000411

View : 12 | Download : 4

Publication Date : 1998-01-01

Article Type : Research Paper

Abstract :In this paper, we construct the sequences of the sheaves of homotopy groups of a pair insert ignore into journalissuearticles values(XA); and of a tıiple insert ignore into journalissuearticles values(XA3);, where X is a connected, locally path connected, and semilocally simply connected topological space and A, B are both öpen connected, locally path connected, and semilocally simply connected subspaces of X with B c A c X. Furthermore, we prove the existence of a homomorphism induced by a continuous map f: insert ignore into journalissuearticles values(XA); insert ignore into journalissuearticles values(Y3); insert ignore into journalissuearticles values(respectively, f: insert ignore into journalissuearticles values(X,A3); —> insert ignore into journalissuearticles values(Y,C,D);); between the sequences of the sheaves of homotcçy groups of the pairs insert ignore into journalissuearticles values(XA); and insert ignore into journalissuearticles values(Y,B); insert ignore into journalissuearticles values(respectively, of the triples insert ignore into journalissuearticles values(XA,B); and insert ignore into journalissuearticles values(Y,C,a););.
Keywords : sequences, sheaves, homotopy groups