query: Homotopy equivalence of covering spaces
positive_passages.docid: 32923
positive_passages.text: Homotopy equivalence of universal cover
negative_passages.docid: 70082
negative_passages.text: Show: Quotient space is homeomorphic to unit sphere
negative_passages.docid: 76428
negative_passages.text: Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
negative_passages.docid: 123656
negative_passages.text: Covering map between orientable compact connected surfaces without boundary with genus $g$
negative_passages.docid: 147793
negative_passages.text: A variation on the induced topology (subspace topology)
negative_passages.docid: 120100
negative_passages.text: Hairy Ball Theorem: homotopy from the identity to the antipodal map
negative_passages.docid: 94215
negative_passages.text: Fundamental group of the connected sum of manifolds
negative_passages.docid: 121100
negative_passages.text: Rootspaces are $\mathop{ad}$ nilpotent
negative_passages.docid: 55374
negative_passages.text: Cover of (0,1) with no finite subcover & Open sets of compact function spaces
negative_passages.docid: 57653
negative_passages.text: Relation between line bundles over $\mathbb{P}^1$ in geometry and topology
negative_passages.docid: 66548
negative_passages.text: proving topological equivalence
negative_passages.docid: 46563
negative_passages.text: Show that the quotient space is homeomorphic to the n-disc
negative_passages.docid: 2871
negative_passages.text: Spaces with equal homotopy groups but different homology groups?
negative_passages.docid: 20692
negative_passages.text: Homotopy groups of a wedge sum
negative_passages.docid: 128941
negative_passages.text: How to compute the topological space of fibered product of schemes?
negative_passages.docid: 157002
negative_passages.text: Connected compact covering space of torus is homeomorphic to $S^1\times S^1$
negative_passages.docid: 19984
negative_passages.text: Example of topological spaces with continuous bijections that are not homotopy equivalent