Notes on two conjectures in Extension Theory

Mathematics – Algebraic Topology

Scientific paper

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4 pages

Scientific paper

It is noted that conjectures about the non-existence of universal compacta
and compactifications of the given extension dimension for non finitely
dominated complexes are not valid for all CW complexes of the form $L \vee
S^{2}$, where $L$ is of finite type and has a finite fundamental group, but is
not finitely dominated.

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