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We investigate the population of cool, evolved stars in the Local Group dwarfelliptical galaxy M32, using Infrared Array Camera observations from theSpitzer Space Telescope. We construct deep mid-infrared colour-magnitudediagrams for the resolved stellar populations within 3.5 arcmin of M32'scentre, and identify those stars that exhibit infrared excess. Our data isdominated by a population of luminous, dust-producing stars on the asymptoticgiant branch (AGB) and extend to approximately 3 mag below the AGB tip. Wedetect for the first time a sizeable population of `extreme' AGB stars, highlyenshrouded by circumstellar dust and likely completely obscured at opticalwavelengths. The total dust-injection rate from the extreme AGB candidates ismeasured to be $7.5 \times 10^{-7}$ ${\rm M}_{\odot} \, {\rm yr}^{-1}$,corresponding to a gas mass-loss rate of $1.5 \times 10^{-4}$ ${\rm M}_{\odot}\, {\rm yr}^{-1}$. These extreme stars may be indicative of an extendedstar-formation epoch between 0.2 and 5 Gyr ago.

A Spitzer Space Telescope survey of extreme Asymptotic Giant Branch stars in M32