NEW YORK — The holidays mean different things to different people. The folks at Gap Inc. realize this and are offering three distinct visions of the season for its trio of labels, which they presented on Thursday. Gap went for color — and lots of it — with a rainbow of jackets, sweaters, hats, scarves and gloves. But color can’t banish winter’s bone-chilling winds, so the brand also included a faux fur-trimmed vest and creamy fishermen-style sweaters. Old Navy, meanwhile, launched its special-edition denim collection, featuring distressing and patchwork appliqués. It also provided an eclectic mix of brocade, satin and tweed. Finally, Banana Republic went for the classic Ali MacGraw-cum-English-country-girl look, first shown on its runway in April. Styles included chunky, luxurious knits, coats and skirts in men’s wear fabrics and a little something to wear out at night: a short black tulle dress.