query: Image of smooth map lies in interior
positive_passages.docid: 68514
positive_passages.text: Let $M$ be a smooth manifold and let $N$ be a manifold with boundary. If $dF_{p}$ is an isomorphism, then $F\left(p\right)\in\mbox{int}M $.
negative_passages.docid: 85707
negative_passages.text: How to get a smooth ridge from a binary image
negative_passages.docid: 29892
negative_passages.text: Object appears smoothed after rendering but not in viewport
negative_passages.docid: 152927
negative_passages.text: seemingly nontrivial question about covering maps and evenly covered open sets
negative_passages.docid: 25620
negative_passages.text: How to embed a filled Region in a Graphics?
negative_passages.docid: 142459
negative_passages.text: Continuity of a Function in Terms of Closure and Interior
negative_passages.docid: 9721
negative_passages.text: Mapping/texturing inside of a box
negative_passages.docid: 143269
negative_passages.text: Existence of area-preserving diffeomorphism between two sets in $\mathbb{R}^2$
negative_passages.docid: 127900
negative_passages.text: Interior of closure of open set in topological space
negative_passages.docid: 35751
negative_passages.text: Is There a Problem with This Professor's Proof Concerning Interior and Boundary Points?
negative_passages.docid: 73559
negative_passages.text: Map preserving intervals but discontinuous
negative_passages.docid: 68977
negative_passages.text: Interior of cartesian product is cartesian product of interiors
negative_passages.docid: 95058
negative_passages.text: Finding a conformal map of slit disk on to unit disk
negative_passages.docid: 140756
negative_passages.text: Image of closed unit ball under a compact operator
negative_passages.docid: 52407
negative_passages.text: Image with axis
negative_passages.docid: 45276
negative_passages.text: Continuous map on $S^2$
negative_passages.docid: 15508
negative_passages.text: Projection map being a closed map