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Characteristic classes and obstruction theory for infinite loop spaces

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Abstract

The classical extension problem is to determine whether or not a given mapg:A→Y, defined on a given subspaceA of a spaceX, has an extensionX→Y. The present paper examines this question in the special case where thek-invariants ofY are cohomology classes of finite order (for instance ifY is an infinite loop space).

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Arlettaz, D. Characteristic classes and obstruction theory for infinite loop spaces. Manuscripta Math 64, 431–443 (1989). https://doi.org/10.1007/BF01170938

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  • DOI: https://doi.org/10.1007/BF01170938

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