Algebraic Topology · Problem 30

Homotopy Theory — Allen Hatcher

Mathematics — Topology · fiber-bundle-subspace-r2-projection

Problem

Let

E

be a subspace of

\mathbb{R}^2

obtained by deleting a subspace of

\{0\} \times \mathbb{R}

. For which such spaces

E

is the projection

E \to \mathbb{R}

(x, y) \mapsto x

, a fiber bundle?