I did a quick google using the search term
"cannon a80 powershot operating temperatures" without the quotes
and the first page was for steve digicams review of the a80. I scrolled down to the bottom of the page and inside the specifications I found this.
Operating Temperature 0 - 40 degrees C (32 - 104 degrees F)
I guess the biggest concern would be going from the cold outside then coming back in to a warm building. While in Florida, my Fuji FinePix 3800 would always fog up when I would go from our air-conditioned motel to the heat of the outside. The lens would fog up so much that I couldn't see through it. But I never experienced any problems because of the change in temperatures or the fogging. However, I was only going from about 70F to 95F, going from the frigid winter to a warm house would be more extreme.
I read somewhere, can't remember where, that if you do bring a camera from one temperature extreme to another, just allow the camera to come to room temperature by itself.
Hope this helps.