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- Timelike_simply_connected abstract "Suppose a Lorentzian manifold contains a closed timelike curve (CTC). No CTC can be continuously deformed as a CTC (is timelike homotopic) to a point, as that point would not be causally well behaved.[1] Therefore, any Lorentzian manifold containing a CTC is said to be timelike multiply connected. A Lorentzian manifold that does not contain a CTC is said to timelike simply connected. Any Lorentzian manifold which is timelike multiply connected has a diffeomorphic universal covering space which is timelike simply connected. For instance, a three-sphere with a Lorentzian metric is timelike multiply connected, (because any compact Lorentzian manifold contains a CTC), but has a diffeomorphic universal covering space which contains no CTC (and is therefore not compact). By contrast, a three-sphere with the standard metric is simply connected, and is therefore its own universal cover.".
- Timelike_simply_connected wikiPageExternalLink s10701-008-9254-9.
- Timelike_simply_connected wikiPageID "7799280".
- Timelike_simply_connected wikiPageRevisionID "376812134".
- Timelike_simply_connected hasPhotoCollection Timelike_simply_connected.
- Timelike_simply_connected subject Category:Algebraic_topology.
- Timelike_simply_connected subject Category:Homotopy_theory.
- Timelike_simply_connected subject Category:Lorentzian_manifolds.
- Timelike_simply_connected type Artifact100021939.
- Timelike_simply_connected type Conduit103089014.
- Timelike_simply_connected type LorentzianManifolds.
- Timelike_simply_connected type Manifold103717750.
- Timelike_simply_connected type Object100002684.
- Timelike_simply_connected type Passage103895293.
- Timelike_simply_connected type PhysicalEntity100001930.
- Timelike_simply_connected type Pipe103944672.
- Timelike_simply_connected type Tube104493505.
- Timelike_simply_connected type Way104564698.
- Timelike_simply_connected type Whole100003553.
- Timelike_simply_connected type YagoGeoEntity.
- Timelike_simply_connected type YagoPermanentlyLocatedEntity.
- Timelike_simply_connected comment "Suppose a Lorentzian manifold contains a closed timelike curve (CTC). No CTC can be continuously deformed as a CTC (is timelike homotopic) to a point, as that point would not be causally well behaved.[1] Therefore, any Lorentzian manifold containing a CTC is said to be timelike multiply connected. A Lorentzian manifold that does not contain a CTC is said to timelike simply connected.".
- Timelike_simply_connected label "Timelike simply connected".
- Timelike_simply_connected sameAs m.026ddtq.
- Timelike_simply_connected sameAs Q7805575.
- Timelike_simply_connected sameAs Q7805575.
- Timelike_simply_connected sameAs Timelike_simply_connected.
- Timelike_simply_connected wasDerivedFrom Timelike_simply_connected?oldid=376812134.
- Timelike_simply_connected isPrimaryTopicOf Timelike_simply_connected.