/usr/include/geos/operation/ is in libgeos-dev 3.2.2-3ubuntu1.
This file is owned by root:root, with mode 0o755.
..
/usr/include/geos/operation/GeometryGraphOperation.h
/usr/include/geos/operation/IsSimpleOp.h
/usr/include/geos/operation/buffer/
/usr/include/geos/operation/buffer/BufferBuilder.h
/usr/include/geos/operation/buffer/BufferOp.h
/usr/include/geos/operation/buffer/BufferParameters.h
/usr/include/geos/operation/buffer/BufferSubgraph.h
/usr/include/geos/operation/buffer/OffsetCurveBuilder.h
/usr/include/geos/operation/buffer/OffsetCurveSetBuilder.h
/usr/include/geos/operation/buffer/RightmostEdgeFinder.h
/usr/include/geos/operation/buffer/SubgraphDepthLocater.h
/usr/include/geos/operation/distance/
/usr/include/geos/operation/distance/ConnectedElementLocationFilter.h
/usr/include/geos/operation/distance/ConnectedElementPointFilter.h
/usr/include/geos/operation/distance/DistanceOp.h
/usr/include/geos/operation/distance/GeometryLocation.h
/usr/include/geos/operation/linemerge/
/usr/include/geos/operation/linemerge/EdgeString.h
/usr/include/geos/operation/linemerge/LineMergeDirectedEdge.h
/usr/include/geos/operation/linemerge/LineMergeEdge.h
/usr/include/geos/operation/linemerge/LineMergeGraph.h
/usr/include/geos/operation/linemerge/LineMerger.h
/usr/include/geos/operation/linemerge/LineSequencer.h
/usr/include/geos/operation/overlay/
/usr/include/geos/operation/overlay/EdgeSetNoder.h
/usr/include/geos/operation/overlay/ElevationMatrix.h
/usr/include/geos/operation/overlay/ElevationMatrixCell.h
/usr/include/geos/operation/overlay/FuzzyPointLocator.h
/usr/include/geos/operation/overlay/LineBuilder.h
/usr/include/geos/operation/overlay/MaximalEdgeRing.h
/usr/include/geos/operation/overlay/MinimalEdgeRing.h
/usr/include/geos/operation/overlay/MinimalEdgeRing.inl
/usr/include/geos/operation/overlay/OffsetPointGenerator.h
/usr/include/geos/operation/overlay/OverlayNodeFactory.h
/usr/include/geos/operation/overlay/OverlayOp.h
/usr/include/geos/operation/overlay/OverlayResultValidator.h
/usr/include/geos/operation/overlay/PointBuilder.h
/usr/include/geos/operation/overlay/PolygonBuilder.h
/usr/include/geos/operation/overlay/snap/
/usr/include/geos/operation/overlay/snap/GeometrySnapper.h
/usr/include/geos/operation/overlay/snap/LineStringSnapper.h
/usr/include/geos/operation/overlay/snap/SnapIfNeededOverlayOp.h
/usr/include/geos/operation/overlay/snap/SnapOverlayOp.h
/usr/include/geos/operation/polygonize/
/usr/include/geos/operation/polygonize/EdgeRing.h
/usr/include/geos/operation/polygonize/PolygonizeDirectedEdge.h
/usr/include/geos/operation/polygonize/PolygonizeEdge.h
/usr/include/geos/operation/polygonize/PolygonizeGraph.h
/usr/include/geos/operation/polygonize/Polygonizer.h
/usr/include/geos/operation/predicate/
/usr/include/geos/operation/predicate/RectangleContains.h
/usr/include/geos/operation/predicate/RectangleIntersects.h
/usr/include/geos/operation/predicate/SegmentIntersectionTester.h
/usr/include/geos/operation/relate/
/usr/include/geos/operation/relate/EdgeEndBuilder.h
/usr/include/geos/operation/relate/EdgeEndBundle.h
/usr/include/geos/operation/relate/EdgeEndBundleStar.h
/usr/include/geos/operation/relate/RelateComputer.h
/usr/include/geos/operation/relate/RelateNode.h
/usr/include/geos/operation/relate/RelateNodeFactory.h
/usr/include/geos/operation/relate/RelateNodeGraph.h
/usr/include/geos/operation/relate/RelateOp.h
/usr/include/geos/operation/union/
/usr/include/geos/operation/union/CascadedPolygonUnion.h
/usr/include/geos/operation/valid/
/usr/include/geos/operation/valid/ConnectedInteriorTester.h
/usr/include/geos/operation/valid/ConsistentAreaTester.h
/usr/include/geos/operation/valid/IsValidOp.h
/usr/include/geos/operation/valid/QuadtreeNestedRingTester.h
/usr/include/geos/operation/valid/RepeatedPointTester.h
/usr/include/geos/operation/valid/SimpleNestedRingTester.h
/usr/include/geos/operation/valid/SweeplineNestedRingTester.h
/usr/include/geos/operation/valid/TopologyValidationError.h