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What is the right estimate for the Ljusternik-Schnirelmann covering property?

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Fixed Point Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 886))

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References

  1. JAMES, I.M.: On category, in the sense of Ljusternik-Schnirelmann, Topology 17 (1978), 331–348.

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  2. STEINLEIN, H.: Borsuk-Ulam Sätze und Abbildungen mit kompakten Iterierten, Habilitationsschrift, University of Munich, 1976, published in Dissertationes Math. (Rozprawy Mat.) 177 (1980), 116 pp.

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  3. STEINLEIN, H.: Some abstract generalizations of the Ljusternik-Schnierelmann Borsuk covering theorem, Pacific J. Math. 83 (1979), 285–296.

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  4. ŠVARC, A.S.: Some estimates of the genus of a topological space in the sense of krasnosel’skiî, Uspehi Mat. Nauk 12 (1957), no. 4 (76), 209–214 (Russian)

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  5. ŠVARC, A.S.: The genus of a fiber space, Trudy Moskov. Mat. Obšč. 10 (1961), 217–272 and 11 (1962), 99–126; (Russian), English translation in Amer. Math. Soc., Translat., II. Ser. 55 (1966), 49–140.

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  6. YANG, Chung-Tao.: On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson, I, Ann. Math. 60 (1954), 262–282.

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Edward Fadell Gilles Fournier

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© 1981 Springer-Verlag

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Steinlein, H. (1981). What is the right estimate for the Ljusternik-Schnirelmann covering property?. In: Fadell, E., Fournier, G. (eds) Fixed Point Theory. Lecture Notes in Mathematics, vol 886. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092197

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  • DOI: https://doi.org/10.1007/BFb0092197

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11152-8

  • Online ISBN: 978-3-540-38600-1

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