On Tuesday afternoons the chess table in the long hall of the Drach Library stands exactly on the border. A white line a hand’s width across runs beneath it, over the oak floorboards, under the circulation desk, and out through the far wall. Bohdan Lisk, 79, a retired loom mechanic, sits on the north side of the line, in Ostrava Mill. Arno Pell, 81, sits on the south side, in Lannet. Between them is a board with a cigarette burn on one corner, a relic of the years when smoking was permitted in the library on one side of the line and not on the other. They have played here most Tuesdays since 1983. Pell is ahead, by his count, by 41 games. Lisk disputes the count.

The library’s front door, under a stone portico, opens onto Market Street in Lannet. Its reading room, a double-height space with green-shaded lamps and some 40,000 books, lies entirely in Ostrava Mill. Getting from one to the other means passing from one country into another, which most visitors do several times an hour, usually carrying a newspaper, without giving it a thought. The library turned 100 in April. For almost all of that century it has been the simplest place in the region to sit down across a table from someone who lives on the other side.

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