Arsenal revived their Champions League hopes in thrilling fashion with a crucial victory over Bayern Munich at Emirates Stadium.The Gunners` hopes of reaching the knockout phase were in serious jeopardy after they lost their opening two games away to Dinamo Zagreb and at home to Olympiakos.Arsene Wenger`s side responded by beating Pep Guardiola`s Bayern - clear favourites to win Group F - and make a nonsense of those dismal earlier performances.Bayern dominated possession but Arsenal dug out the win that keeps their hopes alive when substitute Olivier Giroud bundled home from close range in the 77th minute after goalkeeper Manuel Neuer made a rare error as he missed Santi Cazorla`s free-kick.The win was secured in the dying seconds when Mesut Ozil turned in Hector Bellerin`s cross, Neuer clawing the ball out only for the officials to adjudge it had crossed the line.Arsenal were indebted to keeper Petr Cech, restored after replacement David Ospina`s mistake in the defeat by Olympiakos, saving superbly from Thiago Alcantara and Arturo Vidal.Neuer also excelled before his mistake, particularly with a sensational save from Theo Walcott`s first-half header. -BBC