query: Show that a proper locally invertible map is surjective
positive_passages.docid: 20801
positive_passages.text: Application of inverse function theorem for several variable functions
negative_passages.docid: 62711
negative_passages.text: Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
negative_passages.docid: 93923
negative_passages.text: No surjective bounded linear map from $\ell^2(\mathbf{N})$ to $\ell^1(\mathbf{N})$
negative_passages.docid: 97761
negative_passages.text: Show that a proper continuous map from $X$ to locally compact $Y$ is closed
negative_passages.docid: 84301
negative_passages.text: Showing that some Function on the Unit Disc is injective
negative_passages.docid: 140212
negative_passages.text: Prove that there exists a unique linear map that extends the map from a basis
negative_passages.docid: 134104
negative_passages.text: Is there a Cantor-Schroder-Bernstein statement about surjective maps?
negative_passages.docid: 34700
negative_passages.text: Proving that the matrix exponential map is surjective onto the general linear group
negative_passages.docid: 10042
negative_passages.text: How to Show that Linear transformation is invertible?
negative_passages.docid: 48818
negative_passages.text: Homomorphism of local rings
negative_passages.docid: 94165
negative_passages.text: Why is a map to a smaller dimensional space not injective?
negative_passages.docid: 46863
negative_passages.text: Show that $g$ is injective
negative_passages.docid: 111246
negative_passages.text: product of two continuous proper maps
negative_passages.docid: 117502
negative_passages.text: Proving that a certain continuous function is surjective.
negative_passages.docid: 72952
negative_passages.text: Uniqueness of a linear map on a basis of a vector space
negative_passages.docid: 45380
negative_passages.text: Surjectivity implies injectivity and conversely
negative_passages.docid: 55018
negative_passages.text: Prove that $A^*A + I$ is invertible