Brandon Horvath's 3-pointer with 1:35 left in the second overtime gave the Retrievers a 71-69 lead and Max Curran scored on their next possession as Air Force went scoreless for nearly two minutes until Lavelle Scottie's 3-pointer with 22 seconds left. K.J. Jackson went 1 of 2 at the line, Air Force was off on a 3-pointer and Curran iced it with a dunk.
At the end of the first overtime, Ryan Swan was fouled shooting with 11.2 seconds left and made 1 of 2 free throws to tie it. UMBC's potential winning shot was an air ball.
Sid Tomes made a pair of free throws to tie it late in regulation and UMBC went scoreless over the last minute to go to overtime.
Tomes scored a career-high 20 points for Air Force (1-2), and Swan had 17 points and eight rebounds. Tomes had three of Air Force's five 3-pointers.
Curran had 16 points and 10 rebounds and Arkel Lamar added 10 and 11 for UMBC (3-1). Jackson and Horvath each scored 11 points.