aequationes mathematicae

, Volume 33, Issue 2–3, pp 194–207 | Cite as

A class of 4-pseudomanifolds similar to the lens spaces

  • Anna Donati
Research Papers


A family of 4-dimensional pseudomanifolds is introduced using a standard graph-theoretical representation of lens spaces Some homeomorphisms between these “lens-like” spaces are established, the computation of their fundamental groups and of bounds for their genera are carried out

AMS (1980) subject classification

Primary 57P10, 57M15 Secondary 57M99, 05C10 


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  1. [1]
    Cavicchioli, A, Grasselli, L andPezzana, M,Su di una decomposizione normale per le n-varieta chiuse Boll Un Mat Ital17-B (1980), 1146–1165Google Scholar
  2. [2]
    Donati, A andGrasselli, L,Gruppo dei colori e cristallizzazioni normali' degli spazi lenticolart Boll Un Mat Ital1-A (1982), 359–366Google Scholar
  3. [3]
    De Paris, G andVolzone, G,Omologia di grafi colorati sugli spigoli Atti Sem Mat Fis Univ Modena32 (1983), 216–231Google Scholar
  4. [4]
    Ferri, M,Una rappresentazione delle n-varieta topologiche triangolabili mediante grafi (n + 1)-colorati Boll Un Mat Ital13-B (1976), 250–260Google Scholar
  5. [5]
    Ferri, M,Color switching and homeomorphism of manifolds Canad J Math (to appear)Google Scholar
  6. [6]
    Ferri, M andGagliardi, C,Crystallization moves Pacific J Math100 (1982), 85–103Google Scholar
  7. [7]
    Ferri, M andGagliardi, C,The only genus zero n-manifold is 2n Proc Amer Math Soc85 (1982), 638–642Google Scholar
  8. [8]
    Gagliardi, C,Regular imbeddings of edge-coloured graphs Geom Dedicata11 (1981), 397–414Google Scholar
  9. [9]
    Gagliardi, C,Extending the concept of genus to dimension n Proc Amer Math Soc81 (1981), 473–481Google Scholar
  10. [10]
    Gagliardi, C,How to deduce the fundamental group of a closed n-manifold from a contracted triangulation J Combin Inform System Sci4 (1979), 237–252Google Scholar
  11. [11]
    Harary, F,Graph theory Addison-Wesley, Reading, Mass, 1969Google Scholar
  12. [12]
    Hilton, P J andWylie, S,An introduction to algebraic topology — homology theory Cambridge Univ Press, Cambridge, 1960Google Scholar
  13. [13]
    Maunder, C R F,Algebraic topology Cambridge Univ Press, Cambridge, 1980Google Scholar
  14. [14]
    Pezzana, M,Sulla struttura topologica delle varieta compatte Atti Sem Mat Fis Univ Modena23 (1974), 269–277Google Scholar
  15. [15]
    Rourke, C andSanderson, B,Introduction to piecewise-linear topology Springer Verlag, Berlin—New York, 1972Google Scholar
  16. [16]
    Seifert, H andThrelfall, W,Lehrbuch der Topologie Chelsea Pub Co, New York, 1947Google Scholar

Copyright information

© Birkhauser Verlag 1987

Authors and Affiliations

  • Anna Donati
    • 1
  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly

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