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I recall that @JurekB has been seen out and about with some glasses that fold down into a container no bigger than a presta valve cap (I may be exaggerating slightly, but I was impressed).
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I have a pair of Porsche Design readers for that purpose. They don’t fold to wallet size but they don’t take up much space, can slide into a top tube bag or even down the side of a saddle pack, and are fairly robust. More than good enough for unplanned bike adjustments etc. The 8801 is the most compact and can sometimes be had at a not too painful price.
Anyone able to recommend some small reading glasses (ideally that would fold into wallet size)? I am getting fed up of forgetting to take mine out with me!