A decomposition theorem for closed compact connected P. L. $n$-manifolds

B. G. Casler
1972 Proceedings of the American Mathematical Society  
Let M be a compact connected P.L. /i-manifold without boundary. Then M is the union of 3 sets Bit E2 and F where Eit i' = l, 2, is homomorphic to the interior of an n-ball and Fis the P.L. image of an (n -l)-sphere. Further each point of Fis a limit point of E, and E,.
doi:10.1090/s0002-9939-1972-0290372-6 fatcat:fehc2ibsg5aspno64nialwsaiq