$K$-groups generated by $K$-spaces
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- by Eric C. Nummela PDF
- Trans. Amer. Math. Soc. 201 (1975), 279-289 Request permission
Abstract:
A $K$-group $G$ with identity $e$ is said to be generated by the $K$-space $X$ if $X$ is a subspace of $G$ containing $e,X$ algebraically generates $G$, and the canonical morphism from the Graev free $K$-group over $(X,e)$ on-to $G$ is a quotient morphism. An internal characterization of the topology of such a group $G$ is obtained, as well as a sufficient condition that a subgroup $H$ of $G$ be generated by a subspace $Y$ of $H$. Several illuminating examples are provided.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 201 (1975), 279-289
- MSC: Primary 22A05; Secondary 20E05
- DOI: https://doi.org/10.1090/S0002-9947-1975-0352319-0
- MathSciNet review: 0352319