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Theoretical and Observational Cosmology pp 117–156Cite as

Topology of the Universe: Theory and Observation

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Part of the book series: NATO Science Series ((ASIC,volume 541))

Abstract

“One could imagine that as a result of enormously extended astronomical experience, the entire universe consists of countless identical copies of our Milky Way, that the infinite space can be partitioned into cubes each containing an exactly identical copy of our Milky Way. Would we really cling on to the assumption of infinitely many identical repetitions of the same world?… We would be much happier with the view that these repetitions are illusory, that in reality space has peculiar connection properties so that if we leave any one cube through a side, then we immediately reenter it through the opposite side.” (Schwarzschild 1900 translation 1998)

Developments in the theoretical and observational sides of cosmic topology were slow for most of the century, but are now progressing rapidly at a scale of most interest, with the hope of detecting the topological parameters of the universe within the next ten years.

The historical, mathematical and observational aspects of the subject are briefly reviewed in this course.

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Author information

Authors and Affiliations

  1. DARC, Observatoire de Paris-Meudon, 5 place Jules Janssen, Meudon Cedex, F-92195, France

    Jean-Pierre Luminet

  2. Institut d’Astrophysique de Paris, 98bis Bd Arago, Paris, F-75.014, France

    Boudewijn F. Roukema

  3. Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune, 411 007, India

    Boudewijn F. Roukema

Authors
  1. Jean-Pierre Luminet
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  2. Boudewijn F. Roukema
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Editors and Affiliations

  1. Service d’Astrophysique, CE Saclay, Gif sur Yvette Cedex, France

    Marc Lachièze-Rey

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Luminet, JP., Roukema, B.F. (1999). Topology of the Universe: Theory and Observation. In: Lachièze-Rey, M. (eds) Theoretical and Observational Cosmology. NATO Science Series, vol 541. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4455-1_2

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  • DOI: https://doi.org/10.1007/978-94-011-4455-1_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5946-3

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