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This is from George C. Dobson's Complete Instructor, Pizzicatto Polka. Note the little arrows to the right of "7th Pos. barre", and also more arrows in the second bar of the lowest line. He uses arrows when asking for a chord to be spread, so that might explain those in the lowest line, 2nd bar. But the ones at the 7th position are unlike any others I've seen before. Ideas?
Presuming that you have already read all the instructions given in the book and found no special explanation, it looks to me like a continuation of the position barre to the end of the measure. Most use a dashed or dotted line with a downward hook at the end. The Dobsons had a reputation and it is possible that this was printed on the cheap with the typeset boy making due with what he had on hand.
Yes, I was thinking it meant hold the barre, but I would let go after playing the f#, then play the d while back in first position. Otherwise it all becomes a little awkward. I wonder if the upward arrow is an equivalent of loco which you sometimes see, meaning head back to the nut area.There's certainly no discussion of it in his preface.
I would drop it too. There are plenty of examples of mistakes in these books. I would not think to much about it.