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All 2–dimensional links in 4–space live inside a universal 3–dimensional polyhedron

All 2–dimensional links in 4–space live inside a universal 3–dimensional polyhedron

The hexabasic book is the cone of the 1-dimensional skeleton of the union of two tetrahedra glued along a common face.The universal 3-dimensional polyhedron UP is the product of a segment and the hexabasic book.We show that any closed 2-dimensional surface in 4-space is isotopic to a surface in UP.The …