Add to ORKGThroughout X denotes a compact Hausdorff space. Definition 1.1 A vector bundle over X is a topological space E together with a surjec-tion p: E → X such that 1. For x ∈ X, Ex: = p−1(x) has a finite dimensional vector space structure, 2. E is locally trivial i.e. For x ∈ X, there exists an open set Ux 3 x, nx ≥ 0 and a homeomorphism hx: p −1(Ux) → Ux × Cnx such that hx is fibre-wise linear and pi1 ◦ hx = p. Remark 1.2 If E is a vector bundle over X then dim(Ex) is locally constant. Example 1.3 Let E: = X × Cn. E is called the trivial bundle of rank n. Example 1.4 Let M be a smooth manifold. Then TM, the tangent bundle is a real bundle and one can complexify it to get a complex vector bundle
A topological n-manifold is a Hausdorff space which is locally n-Euclidean (like Rn). No progress wa...
If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be construct...
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...
AbstractA collection F of proper maps into a locally compact Hausdorff space (X,τ) is said to fix th...
The space ℋ(X) of homeomorphisms on a locally compact homogeneous space X with a local cross-section...
E. Fadell [3] generalized the notion of a plane bundle, and gave a definition of generalized tangent...
Let p: E —> B be a locally trivial fiber bundle between closed manifolds where dim E> 5 and B ...
Let p: E —> B be a locally trivial fiber bundle between closed manifolds where dim E> 5 and B ...
Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes eve...
Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes eve...
We prove that a tracially continuous W∗-bundle M over a compact Hausdorff space X with all fibres i...
In this paper, we classify the homotopy classes of proper maps E→ Rk, where E is a vector bundle ove...
In this paper, we classify the homotopy classes of proper maps E→ Rk, where E is a vector bundle ove...
Vector bundles are a generalization of the cross product of a topo-logical space with a vector space...
A topological n-manifold is a Hausdorff space which is locally n-Euclidean (like Rn). No progress wa...
A topological n-manifold is a Hausdorff space which is locally n-Euclidean (like Rn). No progress wa...
If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be construct...
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...
AbstractA collection F of proper maps into a locally compact Hausdorff space (X,τ) is said to fix th...
The space ℋ(X) of homeomorphisms on a locally compact homogeneous space X with a local cross-section...
E. Fadell [3] generalized the notion of a plane bundle, and gave a definition of generalized tangent...
Let p: E —> B be a locally trivial fiber bundle between closed manifolds where dim E> 5 and B ...
Let p: E —> B be a locally trivial fiber bundle between closed manifolds where dim E> 5 and B ...
Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes eve...
Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes eve...
We prove that a tracially continuous W∗-bundle M over a compact Hausdorff space X with all fibres i...
In this paper, we classify the homotopy classes of proper maps E→ Rk, where E is a vector bundle ove...
In this paper, we classify the homotopy classes of proper maps E→ Rk, where E is a vector bundle ove...
Vector bundles are a generalization of the cross product of a topo-logical space with a vector space...
A topological n-manifold is a Hausdorff space which is locally n-Euclidean (like Rn). No progress wa...
A topological n-manifold is a Hausdorff space which is locally n-Euclidean (like Rn). No progress wa...
If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be construct...
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...