[If you have Lightroom]
Pick a B&W image as this stops your eyes confusing colour with tone and allows you to see simple tones between white & grey.
Use the Contrast slider and see what it does to the image. In most cases, dark areas get darker, light areas get lighter (increasing the contrast between light & dark), and the bits in between will go either way, thus giving the illusion of a heavy handed sharpness effect.
Reset the image, then use the Clarity slider. This appears to do the same thing but on a much more defined part of the image. Your big dark areas won't change much and neither will the bright ones. But your middle tone stuff (especially around the edges) will do the same as the contrast slider. However because the effect is much less pronounced, it gives the illusion of sharpness.
Finally, reset the image, and look at the Sharpening tool. This does very similar to the other 2 sliders, but on a very detailed level. You'll probably have to zoom in to 100% to see the effect, but it's still increasing the "edge" contrast. You won't see the effect on anything apart from the very edges, but somewhere between here and the Clarity slider is what I'd consider to be "micro contrast".
Caveat: The Clarity & Sharpness tools have a bit more intelligence and do a bit more than just contrast adjustment, but for the sake of brevity (and my lack of knowledge) I omitted it here.