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· 1942 · DOI 10.2307/1968966

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Weak split extensions of topological Abelian groups

math.AT · 2026-06-06 · unverdicted · novelty 5.0

Introduces the group E^ws_TA(A,B) of weakly split extensions in topological Abelian groups, gives descriptions as continuous sum structures on B×A and as a cocycle quotient Z_c/B_c, relates it to ordinary extensions via a six-term exact sequence, and supplies examples for discrete groups with Bohr t

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  • Weak split extensions of topological Abelian groups math.AT · 2026-06-06 · unverdicted · none · ref 3

    Introduces the group E^ws_TA(A,B) of weakly split extensions in topological Abelian groups, gives descriptions as continuous sum structures on B×A and as a cocycle quotient Z_c/B_c, relates it to ordinary extensions via a six-term exact sequence, and supplies examples for discrete groups with Bohr t