Borsuk-Ulam type theorems on product spaces. 1

• Autorzy: Dzedzej Z. , Idzik A. , Izydorek M.
• Języki publikacji: EN

Abstrakty

EN

The ideal-valued G-index theory is used to prove Borsuk-Ulam and Bourgin-Yang type theorems on the product of spheres. A generalization of a theorem of Zhong is given.

Słowa kluczowe

EN

Borsuk-Ulam theorem; free G-space; G-index

PL

G-przestrzeń; G-wskaźnik; topologia algebraiczna; twierdzenie Borsuka-Ulama

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 4
• Strony: 379--386
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Dzedzej Z.

• Institute Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Idzik A.

• Institute of Computer Science, Polish Academy of Sciences, Ordona 21, 01-237 Warszawa, Poland

autor

Izydorek M.

• Department f Mathematics, Technical University of Gdańsk, Narutowicza 11/12, 80-952 Gdańsk, Poland

Bibliografia

• [1] K. Borsuk, Drei Sätze über die n-dimensionale euklidische Sphäre, Fund. Math., 20 (1933) 177-190.
• [2] D. G. Bourgin, On some separation and mapping theorems, Comment. Math. Helv., 29 (1955) 199-214.
• [3] A. Dold, Lectures on algebraic topology, Springer-Verlag, Berlin, Heidelberg, New York 1972.
• [4] T. tom Dieck, Transformation groups, Walter de Gruyter Studies in Math., 8, Berlin, New York 1987.
• [5] E. Fadell, S. Husseini, An ideal-valued cohomological index theory with applications to Borsuk-Ulam and Bourgin-Yang theorems, Ergodic Theory Dynam. Systems, 8* (1988) 73-85.
• [6] C. T. Yang, On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson I, Ann. of Math., 60 (1954) 262-282.
• [7] C. Zhong, The Borsuk-Ulam theorem on product space, in: Fixed point theory and its applications, ed.: K. K. Tan, World Scientific, Singapore, New Jersey, London, Hong Kong (1992) 362-372.