On exact diagrams and strict morphisms
Dinam\'erico P. Pombo Jr
TL;DR
This paper establishes necessary and sufficient conditions for the exactness of sequences of continuous group homomorphisms, advancing the understanding of algebraic exactness in topological group contexts.
Contribution
It provides new criteria for exactness in sequences of continuous group homomorphisms, bridging algebraic and topological properties.
Findings
Derived necessary and sufficient conditions for exactness
Clarified the relationship between algebraic and topological exactness
Enhanced theoretical understanding of continuous group homomorphism sequences
Abstract
Necessary and sufficient conditions for the exactness (in the algebraic sense) of certain sequences of continuous group homomorphisms are established.
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Taxonomy
TopicsRings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology · Finite Group Theory Research