List questions from characteristic-classes

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Prop 12.8 in Bott & Tu

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Source request for $H^(B\mathrm{TOP},\mathbb{Q})\cong H^(BO,\mathbb{Q})$

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List Question

functor from complex algebraic variety to constructible function

Property of second Stiefel-Whitney class?

Finding the chern classes of line bundles over projective space using homotopy classes of clutching functions

How do we construct an associated bundle $V_{n, q}(\omega)$ over $B$ with typical fiber $V_{n - q}(F)$?

Discontinuous group homomorphism from $(\mathbb{R},+)$ to $S^1$,unit circle

Prop 12.8 in Bott & Tu

Calculating the stiefel whitney class of Tangent Bundle of projective space

Restrictions of $E \to X×I$ over $X \times \{0\}$ and $X \times \{1\}$ are isomorphic if X is paracompact

Chern class of Hopf fibration: $S^1 \hookrightarrow S^3 \xrightarrow{\ p \, } S^2$?

Chern character in odd K-theory

Non-zero tangent vectors in Hermitian manifolds

Intuitive interpration of the Thom isomorphism and relative cohomology

Coefficient space of formal power series corresponding to characteristic classes

Euler class in Morita's book

Source request for $H^(B\mathrm{TOP},\mathbb{Q})\cong H^(BO,\mathbb{Q})$

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