JSFiddle - React, Tailwind, and code Playground

HTML

<div class="container">
    <div id="carousel" class="carousel slide">
        <div class="overlay">
            <img src="http://lorempixel.com/310/310/cats/" />
        </div>
        <ol class="carousel-indicators">
            <li data-target="#carousel" data-slide-to="0" class="active"></li>
            <li data-target="#carousel" data-slide-to="1"></li>
            <li data-target="#carousel" data-slide-to="2"></li>
        </ol>
        <!-- Carousel items -->
        <div class="carousel-inner">
            <div class="active item">
                <img src="http://lorempixel.com/1170/340/nature/0" />
            </div>
            <div class="item">
                <img src="http://lorempixel.com/1170/340/nature/1" />
            </div>
            <div class="item">
                <img src="http://lorempixel.com/1170/340/nature/2" />
            </div>
        </div>
    </div>
</div>

CSS

@import url('http://twitter.github.com/bootstrap/assets/css/bootstrap.css');
 @import url('http://twitter.github.com/bootstrap/assets/css/bootstrap-responsive.css');
 .container {
    margin-top: 10px;
}
.overlay {
    position: absolute;
    top: 0;
    left: 0;
    z-index: 10;
    pointer-events: none;
}
.carousel-inner {
    position: relative;
}