The sequences of the sheaves of homotopy groups

Year 1998, Volume: 47 , 0 - 0, 01.01.1998

Ayhan Şerbetçi

https://doi.org/10.1501/Commua1_0000000411

Abstract

In this paper, we construct the sequences of the sheaves of homotopy groups of a pair (XA) and of a tıiple (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: (XA) (Y3) (respectively, f: (X,A3) —> (Y,C,D)) between the sequences of the sheaves of homotcçy groups of the pairs (XA) and (Y,B) (respectively, of the triples (XA,B) and (Y,C,a)).

Keywords

sequences, sheaves, homotopy groups

References

• Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi