theater is very supportive

The theater where James Holmes opened fire last week, killing 12 people, is offering to pick up funeral expenses for the victims' families ... 

Several funerals were held Friday in Aurora, Colorado -- one of them for Rebecca Wingo ... a 32-year-old mother of 2. 

 Cinemark -- corporate owners of the Century 16 Theater -- called the chapel where Rebecca's service was held ... and offered to foot the bill for her funeral.

In fact, the owner of the chapel says Cinemark told him it was willing to provide financial backing to all victims' families -- by paying any funeral expenses not covered by the Crime Victims' Compensation Fund.

Rebecca's mother, Shirley Wygal, turned down the offer and through a spokesperson told TMZ, the reason was that the Victims Advocate Fund paid for everyone's main funeral expenses.