Thickenings of CW complexes of the form 𝑆^{𝑚}∪_{𝛼}𝑒ⁿ

Cooke, George

doi:10.1090/S0002-9947-1979-0517691-0

Thickenings of CW complexes of the form $S^{m}\cup _{\alpha }e^{n}$
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Trans. Amer. Math. Soc. 247 (1979), 177-209 Request permission

Abstract:

Necessary conditions are given for the existence of a thickening of ${S^m} { \cup _\alpha } {e^n}$ in codimension k. I give examples of such complexes requiring arbitrarily large codimension in order to thicken. Sufficient conditions are given for the existence of a tractable thickening in codimension $k + 1$. The methods used include the study of the reduced product space of a pair of CW complexes.

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