Mappings from S3 to S2 whose point inverses Have the shape of a circle

Coram, Donald; Duvall, P. F.

doi:10.1016/0016-660x(79)90037-0

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Hn{p-\)^h"{p-lu)1

Preliminaries1

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1981

2000

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Cited by 18 publications

(2 citation statements)

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“…Let K denote the set of all points b0 in B such that every neighborhood W of b0 (with W c U0) contains some point w for which a(w) = 0. As in previous analyses in [CD1,CD2,DW1], the set K is a troublesome spot. Clearly, K is closed in B.…”

Section: Hn{p-\)^h"{p-lu)mentioning

confidence: 84%

Decompositions into Codimension-Two Manifolds

Daverman¹,

Walsh²

1985

Transactions of the American Mathematical Society

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Section: Hn{p-\)^h"{p-lu)mentioning

confidence: 84%

Decompositions into Codimension-Two Manifolds

Daverman¹,

Walsh²

1985

Transactions of the American Mathematical Society

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“…Call C the continuity set of p and C the mod 2 continuity set of p. D. Coram and P. Duvall [4] showed that C and C are dense, open subsets of B.…”

Section: Preliminariesmentioning

confidence: 99%

Connected sums of manifolds which induce approximate fibrations

Kim

2000

Proc. Amer. Math. Soc.

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Abstract. Codimension-2 fibrators are n-manifolds which automatically induce approximate fibration, in the following sense: given any proper mapping p from an (n + 2)-manifold onto a 2-manifold such that each point-preimage is a copy of the codimension-2 fibrator, p is necessarily an approximate fibration. In this paper, we give some answers to the following question: given an n-manifold N which is a nontrivial connected sum, when is N a codimension-2 fibrator?

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Approximate fibrations-a geometric perspective

Coram¹

1981

Lecture Notes in Mathematics

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Mappings from S3 to S2 whose point inverses Have the shape of a circle

Cited by 18 publications

References 20 publications

Decompositions into Codimension-Two Manifolds

Decompositions into Codimension-Two Manifolds

Connected sums of manifolds which induce approximate fibrations

Approximate fibrations-a geometric perspective

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