Related papers: A classification of S^3-bundles over S^4

This paper has been withdrawn by the author due to a crucial argument error at p.10.

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This paper has been withdrawn by the author due to errors.

This paper has been withdrawn by the author due to an error.

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This paper is withdrawn. We found a mistake in Lemma 4.1

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."

This paper has been withdrawn by the author due to a error in attachment of source file.

This paper has been withdrawn by the author due to a crucial error.

The article has been withdrawn by the author due to the existence of counterexamples.

We classify the total spaces of bundles over the four sphere with fiber a three sphere up to orientation preserving and reversing homotopy equivalence, homeomorphism and diffeomorphism. These total spaces have been of interest to both…

Paper withdrawn due to error.

This paper has been withdrawn by the author because there are some typos in proofs.

This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).

This paper has been withdrawn due to an error. We plan to replace it with a corrected version.

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.

This paper has been withdrawn by the author due to an error in the derivation.

This paper has been withdrawn

This paper has been withdrawn by the authors, due a crucial error.