Topics in infinite dimensional topology

Granas, Andrzej

Séminaire Jean Leray, no. 3 (1969-1970), pp. 1-131.

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[11] - Fixed points on neighbourhood retracts, Revue Math. Pures Appl. 2, Hommage à S. Stoilow (1957), 371-374. | MR | Zbl

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[13] - Fixed point theorems on infinite dimensional manifolds, Trans. Am. Math. Soc. 119, 2 (1965), 179-194. | MR | Zbl

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[20] A. Gmurczyk, On approximative retracts, Bull. Acad. Polon. Sci. 16 (1968), 9-14. | MR | Zbl

[21] L. Górniewicz and A. Granas, Fixed point theorems for multi-valued mappings of the absolute neighbourhood retracts, (to appear). | MR | Zbl

[22] A. Granas, Sur la notion du degré topologique pour une certaine classe de transformations multivalentes dans les espaces de Banach, Bull. Acad. Polon. Sci. 7 (1959), 181-194. | MR | Zbl

[23] - Theorem on antipodes and theorems on fixed points for a certain class of multi-valued mappings in Banach spaces, Bull. Acad. Polon. Sci. 7 (1959), 271-275. | MR | Zbl

[24] - Generalizing the Hopf-Lefschetz fixed point theorem for non-compact ANR-s, Symposium on Infinite Dimensional Topology, Bâton-Rouge, 1967. | Zbl

[25] - Fixed point theorems for the approximative ANR-s, Bull. Acad. Polon. Sci. 16 (1968), 15-19. | MR | Zbl

[26] - Some theorems in fixed point theory. The Leray-Schauder Index and the Lefschetz Number, Bull. Acad. Polon. Sci. 17 (1969), 131-137. | MR | Zbl

[27] A. Granas and J.W. Jaworowski, Some theorems on multi-valued mappings of subsets of the Euclidean space, Bull. Acad. Polon. Sci. 7 (1959), 277-283. | MR | Zbl

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[41] J. Leray et J. Schauder, Topologie et équations fonctionnelles, Ann. Sci. Ecole Norm. Sup. 51 (1934). | JFM | Numdam | Zbl

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[43] H. Noguchi, A generalization of absolute neighbourhood retracts, Kodai Math. Seminar Reports 1 (1953), 20-22. | MR | Zbl

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[2] K. Geba, Algebraic topology methods in the theory of compact fields in Banach spaces, Fund. Math. 54 (1964), pp. 177-209. | MR | Zbl

[3] K. Geba and A. Granas, Algebraic topology in linear normed spaces I - V, Bull. Acad. Polon. Sci., I, 13 (1965), pp. 287-290; II, 13 (1965), pp. 341-346; III, 15 (1967), pp. 137-143; IV, 15 (1967), pp. 145-152; V, 17 (1969), pp. 123-130. | Zbl

[4] K. Geba and A. Granas, On cohomology theory in linear normed spaces, Proc. Infinite Dimensional Topology, Baton Rouge (1967). [5] K. Geba and A. Granas, Infinite dimensional cohomology theories (to appear). | MR | Zbl

[6] A. Granas, The theory of compact vector fields and some of its applications to topology of functional spaces, I. Rozprawy Matematyczne 30, Warszawa (1962). | MR | Zbl

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[11] J. Schauder, Invarianz des Gebietes in Funktionalräumen, Studia Math. 1 (1929), pp. 123-139. | JFM

[12] E. Spanier, Duality and S-theory, Bull. Amer. Math. Soc. 62 (1956), pp. 194-203. | MR | Zbl

[13] E. Spanier and J.H.C. Whitehead, Duality in homotopy theory, Mathematika, 2 (1955), pp. 56-80. | MR | Zbl

[14] G.W. Whitehead, Generalized homology theories, Trans. Amer. Math. Soc. 102 (1962), pp. 227-283. | MR | Zbl