Revision #521 → #1133 · back to history
addedCovering / covering space40f4a451086a
addedSheets of a coveringd5f156003eaa
addedFiber of a covering73fd56ab6368
addedDegree of a coveringca33a835e299
addedPath-connected covering73e22ce5312e
addedCovering equivalent to locally trivial fiber bundlec60d7b2f8646
addedTrivial covering5cbe22a7ca31
addedTrivial n-sheeted covering7994b739385b
addedExponential covering of the unit circle9ec973b176db
addedn-fold covering of the unit circle094e50eff5db
addedLocal homeomorphism that is not a covering6716c1722211
addedDouble covering for odd n7404902e7e43
addedCovering is a local homeomorphism73ddbc7f0cc1
addedOrientation double cover of non-orientable manifold9d55d7df54a5
addedCovering of a connected Lie group is a Lie groupd2824f3cca96
addedCovering of a graph is a graphbcab9bdfb3c0
addedUniversal cover of connected manifoldebf24c73009a
addedUniversal cover of connected Riemann surface3c3625a6bab6
addedFactorisation of coverings (first)85b18570aaa1
addedFactorisation of coverings (second)96ac070a1eb5
addedProduct of coverings is a covering618bd3604fef
addedEquivalent coverings / isomorphic covering spaces9002ce8b9334
addedLifting property of coveringsa92e13f232e9
addedLift of path and homotopyd684bad61df6
addedFundamental group of the unit circle is infinite cyclic279cf6f35c6c
addedPath lift gives bijection between fibers70de1ec66e23
addedInduced homomorphism on fundamental group is injective21ef95a26b29
addedHolomorphic map between Riemann surfaces4a73745a3cfb
addedHolomorphic map (global)c4c5d3558048
addedLocal expression of a holomorphic mapca4426601c86
addedNon-constant holomorphic map between compact Riemann surfaces is surjective and openb0859e03881c
addedRamification index, ramification point, branch point40da2745254f
addedDegree of a holomorphic map91d1e921869d
addedDegree is well-definede649fdcf1b49
addedBranched covering835bcfef6a69
addedBranched covering of degree naad1f1a52dc8
addedNon-constant holomorphic map is a branched covering86b502f972f3
addedUniversal coveringd9fa0b3e75e7
addedExistence of universal coveringcf9ec521e91d
addedFundamental group acts freely on universal coverc1ae664ae366
addedUniversal covering of the unit circle436fbfd29697
addedUniversal covering of projective space7d7802d31545
addedUniversal covering of the unitary group9906a9ae0744
addedQuotient map as universal coveringca8b4c44bf3b
addedHawaiian earring has no universal covering06001af043d6
addedFundamental groupoid of orbit space253d2fa08707
addedSmooth coveringed08d358b818
addedDeck transformation4849b0cb3d3f
addedRegular (normal/Galois) cover2663f146b2bf
addedRegular cover is a principal G-bundle852e819f8028
addedUniversal cover is regular with deck group equal to fundamental group662ae16436ba
addedDeck transformations of the exponential coverca9aa672ffb3
addedDeck transformations of the n-fold covera777a054b8e2
addedPunctured plane regular cover1f1c2db0a701
addedDeck transformations permute fibers freely830f14e182e4
addedNormal covering1cfb1ff7e329
addedNormal covering iff normal subgroup5e66ace69feb
addedDeck transformation group of a normal covering10c9219040ed
addedDeck transformation group via normalizer9ca6c47266a7
addedDiscontinuous group actiona4bdc2f24e18
addedQuotient by discontinuous action is normal coveringaabbe71abf10
addedNormal coverings of the circleee949f4e2e95
addedSimply connected covering is normalad6880e03dbc
addedPath-connected quotient: fundamental group calculation144981e3b09d
addedSimply connected quotient: fundamental group is G2e4b79599ac9
addedAntipodal map and fundamental group of sphereb91e6ee3b2da
addedUniversal covering of SO(n)b9bdb78da5ba
addedUniversal covering of the Klein bottleaec569fab8e1
addedNormal covering of the Klein bottle via torus96ecf0f98b0e
addedUniversal covering of the lens space118d9ae11478
addedExistence of covering for each subgroup37afaa637e1f
addedCoverings equivalent iff subgroups conjugatebbc5bee40ed0
addedGalois correspondence bijectionb9a4b6cc7082
addedDegree of covering equals index of subgroup4b1478a55db0
addedCategory of coverings71e19642fd8b
addedCategory of G-sets46750162b625
addedEquivalence of categories: coverings and G-sets99dc1f8ff10a