Skip to main content
SpringerLink
Log in

Generating all orientablen-manifolds from (n−1)-complexes

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

Presentiamo una costruzione standard di tutte le PL-varietà chiuse orientabili di dimensionen, a partire da una particolare classe di complessi (n−1)-dimensionali dotati di una struttura d'ordine addizionale.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Cavicchioli A.—Grasselli L.—Pezzana M.,Su di una decomposizione normale per le n-varietà chiuse, Boll. Un. Mat. Ital.,17-B (1980), 1146–1165.

    MATH  MathSciNet  Google Scholar 

  2. Ferri M.,Una rappresentazione delle n-varietà topologiche triangolabili mediante grafi (n+1)-colorati, Boll. Un. Mat. Ital.,13-B (1976), 250–260.

    MATH  MathSciNet  Google Scholar 

  3. Ferri M.—Gagliardi C.,Alcune proprietà caratteristiche delle triangolazioni contratte, Atti Sem. Mat. Fis. Univ. Modena,24 (1975), 195–220.

    MathSciNet  Google Scholar 

  4. Ferri M.—Gagliardi C.,Crystallization moves, Pacific. J. Math.,98 (1982).

  5. Gagliardi C.,A combinatorial characterization of 3-manifold crystallization, Boll. Un. Mat. Ital.,16-A, (1979), 441–449.

    MATH  MathSciNet  Google Scholar 

  6. Glaser L. C.,Geometrical combinatorial topology, vol. I, vol. II, Van Nostrand Reinhold Math. Studies, New York (1970).

  7. Harary F.,Graph theory, Addison Wesley, Reading (1960).

    Google Scholar 

  8. Hilton P. J.—Wylie S.,An introduction to algebraic topology-homology theory, Cambridge Univ. Press (1960).

  9. Pezzana M.,Sulla struttura topologica delle varietà compatte, Atti. Sem. Mat. Fis. Univ. Modena,23 (1974), 269–277.

    Google Scholar 

  10. Pezzana M.,Diagrammi di Heegaard e triangolazione contratta, Boll. Un. Mat. Ital.,12, Suppl. fasc. 3, (1975), 98–105.

    MathSciNet  Google Scholar 

  11. Rourke C.—Sanderson B.,Introduction to piecewise-linear topology, Springer Verlag, 1972.

  12. Seifert H.—Threlfall W.,Lehrbuch der Topologie, Teubner, Leipzig (1934); Chelsea—New York (1947); English reprint: Academic Press (1980).

    Google Scholar 

  13. White A. T.,Graphs, groups and surfaces, North Holland, 1973.

  14. Zeeman E. C.,On the Dunce hat, Topology,2 (1964), 341–358.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto Matematico ≪G. Vitali≫, Università di Modena, Via Campi, 213/B, 41100, Modena, Italia

    Paola Bandieri & Carlo Gagliardi

  2. Istituto di Matematica, Facoltà di Ingegneria, Via Claudio, 21, 80125, Napoli, Italia

    Paola Bandieri & Carlo Gagliardi

Authors
  1. Paola Bandieri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Carlo Gagliardi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was performed under the auspicies of the G.N.S.A.G.A. of the C.N.R. (National Research Council of Italy).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bandieri, P., Gagliardi, C. Generating all orientablen-manifolds from (n−1)-complexes. Rend. Circ. Mat. Palermo 31, 233–246 (1982). https://doi.org/10.1007/BF02844356

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844356

Keywords

Search

Navigation