[html] outline on only one border

You can use box-shadow to create an outline on one side. Like outline, box-shadow does not change the size of the box model.

This puts a line on top:

box-shadow: 0 -1px 0 #000;

I made a jsFiddle where you can check it out in action.


INSET

For an inset border, use the inset keyword. This puts an inset line on top:

box-shadow: 0 1px 0 #000 inset;

Multiple lines can be added using comma-separated statements. This puts an inset line on the top and the left:

box-shadow: 0 1px 0 #000 inset,
            1px 0 0 #000 inset;

For more details on how box-shadow works, check out the MDN page.