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Relative category, products and coproducts

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Il concetto dilunghezza del prodotto fu introdotto dagli autori in un lavoro precedente con la finalità di studiare la categoria di Lusternik-Schnirelmann degli spazi di laccetti (puntati o liberi) di spazi la cui omologia non fosse di tipo finito. Uno degli obiettivi del presente lavoro è di estendere quelle idee per potere rispondere ad una domanda di F. Giannoni sulla categoria relativa della coppia ΩM×(D, S), in cuiD è una varietà con bordoS, M è un ANR di dimensione finita ed 1-connesso, e ΩM è lo spazio dei laccetti puntati suM. Si studia anche la questione analoga per ⋏M×(D, S), dove ⋏M è lo spazio dei laccetti liberi.

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References

  1. Fadell, E.,On fiber spaces, TAMS,90 (1959), 1–14.

    Article  MATH  MathSciNet  Google Scholar 

  2. Fadell, E.,Lectures in Cohomological Index Theories of G-spaces with Applications to Critical Point Theory, Raccolta di Seminari, Università della Calabria, (1985).

  3. Fadell, E. andHurewicz, W.,On the structure of higher differential operators in spectral sequences, Annals of Mathematics,68 (1958), 314–347.

    Article  MathSciNet  Google Scholar 

  4. Fadell, E. andHusseini S.,A note on the category of the free loop space, PAMS,107 (1989), 527–536.

    Article  MATH  MathSciNet  Google Scholar 

  5. Fadell, E. andHusseini, S.,Category of loop spaces of open subsets in Euclidean space, Jour. Nonlinear Analysis,17, (1991), 1153–1161.

    Article  MATH  MathSciNet  Google Scholar 

  6. Fadell, E. andHusseini, S.,Infinite cup length in free loop spaces with an application to a problem of N-body type, Ann. Inst. H. Poincaré, Analyse Non Lineaire,9 (1992), 305–319.

    MATH  MathSciNet  Google Scholar 

  7. Fournier, G. andWillem, M.,Multiple solution of the forced double pendulum equation, Ann. Inst. H. Poncairé, Analyse Non Lineaire,6, suppl. (1989), 259–281.

    MathSciNet  Google Scholar 

  8. McCleary,A User's Guide to Spectral Sequences, Publish or Perish, (1985), Wilmington, Del.

    Google Scholar 

  9. Reeken, M.,Stability of critical points under small perturbations, Part I, Manus. Math.,7, (1972), 387–411.

    Article  MATH  MathSciNet  Google Scholar 

  10. Serre, J.P.,Homologie singulière des espaces fibrés, Applications, Ann. of Math., (2)54 (1951), 425–505.

    MathSciNet  Google Scholar 

  11. Szulkin, A.,A relative category and applications to critical point theory for strongly indefinite functionals, Jour. Nonlinear Analysis,15 (1990), 725–739.

    Article  MATH  MathSciNet  Google Scholar 

  12. Whitehead, G.W.,Elements of Homopoty, Springer-Verlag, (1978), New York.

    Google Scholar 

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Authors and Affiliations

  1. Universität Heidelberg, Heidelberg, Germany

    Edward Fadell & Sufian Y. Husseini

  2. University of Wisconsin-Madison, 53706, Madison, WI, USA

    Edward Fadell & Sufian Y. Husseini

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  1. Edward Fadell
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  2. Sufian Y. Husseini
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Conferenza tenuta da E. Fadell il 2 marzo 1994

Supported in part by the Università di Milano and the Universität Heidelberg (DFG).

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Fadell, E., Husseini, S.Y. Relative category, products and coproducts. Seminario Mat. e. Fis. di Milano 64, 99–115 (1994). https://doi.org/10.1007/BF02925193

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