query: Smooth homotopic maps and closed forms..
positive_passages.docid: 157966
positive_passages.text: Integrals of Pullbacks
negative_passages.docid: 127631
negative_passages.text: On a conformal mapping
negative_passages.docid: 55089
negative_passages.text: Basis of the space of vector fields on smooth manifolds
negative_passages.docid: 132571
negative_passages.text: Local homeomorphisms which are not covering map?
negative_passages.docid: 152328
negative_passages.text: A continuously differentiable map is locally Lipschitz
negative_passages.docid: 66770
negative_passages.text: Intuition for Smooth Manifolds
negative_passages.docid: 18687
negative_passages.text: First and second homotopy groups of a connected Lie group
negative_passages.docid: 33969
negative_passages.text: "Basis extension theorem" for local smooth vector fields
negative_passages.docid: 127436
negative_passages.text: Conformal Maps onto the Unit Disc in $\mathbb{C}$
negative_passages.docid: 33734
negative_passages.text: Every closed subset $E\subseteq \mathbb{R}^n$ is the zero point set of a smooth function
negative_passages.docid: 45276
negative_passages.text: Continuous map on $S^2$
negative_passages.docid: 157378
negative_passages.text: On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
negative_passages.docid: 147752
negative_passages.text: Is the quotient map a homotopy equivalence?
negative_passages.docid: 135634
negative_passages.text: Prove that there exists a smooth map $g\colon R\to R$ such that $f(\cos(t),\sin(t))=(\cos(g(t)),\sin(g(t)))$ and satisfying $g(2π)=g(0)+2\pi q$.
negative_passages.docid: 21178
negative_passages.text: Show that $f$ extends to a smooth map.
negative_passages.docid: 132911
negative_passages.text: Determining if there can be smooth closed geodesic given its curvature
negative_passages.docid: 107148
negative_passages.text: Does there always exist a continuous/smooth map from $\mathbb{R}^n$ onto a manifold $M^n$?