The Texas strip club where a dancer came crashing down from a 15-foot pole is taking no responsibility for the incident ... because the CEO says they didn't tell her to make the climb.

As you know ... exotic dancer Genea Sky went viral after seriously injuring herself over the weekend when she fell from a two-story pole on the main stage of XTC Cabaret in Dallas.

But, the club is calling it an accident, and there are no plans to remove stripper poles as a result ... Eric Langan -- CEO of RCI Hospitality Holdings Inc., which owns the club -- tells TMZ.

THE HORRIFIC FALL

As we reported ... Genea says she fractured her jaw, sprained her ankle and cracked some teeth in the fall, and she underwent surgery for her injuries.

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