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The classical Poincar{\'e} conjecture that every homotopy 3-sphere isdiffeomorphic to the 3-sphere is proved by G. Perelman by solving Thurston'sprogram on geometrizations of 3-manifolds. A new confirmation of thisconjecture is given by combining R. H. Bing's result on this conjecture withSmooth Unknotting Conjecture for an $S^2$-link and Smooth 4D Poincar{\'e}Conjecture.

Classical Poincar{\'e} conjecture via 4D topology