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)).
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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)).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:sequences · sheaves · homotopy groups
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)).
ŞERBETÇİ, A. (1998). The sequences of the sheaves of homotopy groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 47, 1–1. https://ajindex.com/articles/747642