query: Composition of covering maps is a covering map if the inverse image is finite.
positive_passages.docid: 28406
positive_passages.text: composition of certain covering maps
negative_passages.docid: 78256
negative_passages.text: Finite additivity in outer measure
negative_passages.docid: 45380
negative_passages.text: Surjectivity implies injectivity and conversely
negative_passages.docid: 70912
negative_passages.text: If $g\circ f$ is injective and $f$ is surjective then $g$ is injective
negative_passages.docid: 127285
negative_passages.text: Inverse images of images, images of inverse images of a set of vectors
negative_passages.docid: 38033
negative_passages.text: A surjective linear map into a finite dimensional space is open
negative_passages.docid: 101232
negative_passages.text: Does proper map $f$ take discrete sets to discrete sets?
negative_passages.docid: 121141
negative_passages.text: Proving Finiteness of Group from Presentation
negative_passages.docid: 93040
negative_passages.text: $f$ is surjective iff it has a right inverse: using the axiom of choice and errors in ProofWiki
negative_passages.docid: 6023
negative_passages.text: Surjectivity of Composition of Surjective Functions
negative_passages.docid: 68724
negative_passages.text: $||T-I|| < 1$ implies that $T$ is invertible.
negative_passages.docid: 107370
negative_passages.text: An open covering of $\mathbb{Q} \cap [0,1]$ that does not contain any finite subcovering
negative_passages.docid: 78513
negative_passages.text: Show finite complement topology is, in fact, a topology
negative_passages.docid: 48009
negative_passages.text: Left inverse implies right inverse in a finite ring
negative_passages.docid: 66895
negative_passages.text: A condition for the image of a metrizable space to be metrizable
negative_passages.docid: 86107
negative_passages.text: Map bounded if composition is bounded
negative_passages.docid: 64866
negative_passages.text: Proving a Composition of Functions is Bijective