On maps into a co-H-space
نویسندگان
چکیده
We prove that the domain of a map X —> Y to a co-H-space inherits a coH-structure provided some dimensionality and connectivity properties hold. Then we deduce that a space X admits a co-H-structure if and only if on all its skeletons there is such a structure as well. Moreover, if X is 1-connected then a co-H-structure on X is equivalent to such a structure on all its homology decomposition stages.
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