A finite connected three-dimensional CW complex satisfies the D(2) homological finiteness conditions but is not homotopy equivalent to any finite complex of dimension at most two.
A finite connected three-dimensional CW complex satisfies the D(2) homological finiteness conditions but is not homotopy equivalent to any finite complex of dimension at most two.
A finite connected three-dimensional CW complex satisfies the D(2) homological finiteness conditions but is not homotopy equivalent to any finite complex of dimension at most two.
If correct, answers Wall’s finite D(2) problem negatively.
Must every finite D(2) complex be homotopy equivalent to a finite two-complex?
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OpenAI reports a counterexample to Wall’s finite D(2) problem
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