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Covering maps in topN

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1283)

Abstract

We develop the first step in a theory of covering spaces in TopN beginning by extending a categorical definition of covering space in Top due to E. Dyer and S. Eilenberg.

Partially supported by a research grant from William Patterson College of New Jersey.

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References

  1. D.A. Edward and H.M. Hastings, Cech and Steenwood Homotopy Theories with Applications to Geometric Topology, Lecture Notes in Math. 542, Springer-Verlag, New York, 1976.

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  2. R.H. Fox, Shape Theory and Covering Maps, Lecture Notes in Math. 375, Springer-Verlag, New York, 1974, 71–90.

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  3. S. Mardesic and T.B. Rushing, Shape Fibraions, General Topology and Appl. 9 (1978), 193–215.

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  4. E. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.

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© 1987 Springer-Verlag

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Hastings, H.M., Jani, M. (1987). Covering maps in topN . In: Mardešić, S., Segal, J. (eds) Geometric Topology and Shape Theory. Lecture Notes in Mathematics, vol 1283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081422

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  • DOI: https://doi.org/10.1007/BFb0081422

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18443-0

  • Online ISBN: 978-3-540-47975-8

  • eBook Packages: Springer Book Archive