Abstract
the reader of this book is assumed to have a grasp of the elementary concepts of set theory, general topology, and algebra. Following are brief summaries of some concepts and results in these areas which are used in this book. Those listed explicitly are done so either because they may not be exactly standard or because they are of particular importance in the subsequent text.
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Some Books on Algebraic Topology
Alexandroff, P. and H. Hopf: Topologie, Springer-Verlag, 1935.
Bott, R. and L. W. Tu:Differential Foniis in Algebraic Topology, Springer-Verlag, 1982
Bourgin, D.G.: Modern Algebraic Topology, Macmillan, 1963.
Bredon, G.E.: Sheaf Theory, McGraw-Hill, 1967.
Cairns, S.S.: Introductory Topology, Ronald Press, 1962.
Dold, A.: Lectures on Algebraic Topology, Springer-Verlag, 1980.
Eilenberg, S. and N.E. Steenrod: Foundations of Algebraic Topology, Princeton University Press, 1952.
Godement, R.: Topologie algébrique et théorie des faisceaux, Hermann and Cie, 1958.
Gray, B.: Homotopy Theory, An Introduction to Algebraic Topology, Academic Press, 1975.
Greenberg, MJ. and J.R. Harper: Algebraic Topology, A First Course Benjamin/Cummings, 1981.
Hilton, P.J. and S. Wylie: Homology Theory, Cambridge University Press, 1960.
Hocking, J.G. and G.S. Young: Topology, Addison-Wesley, 1961.
Hu, S.T.:Homotopy Theory, Academic Press, 1959.
Lefschetz, S.: Algebraic Topology, American Math Society, 1942.
Lefschetz, S.: Introduction to Topology, Princeton Univ. Press, 1949.
Massey, W.S.: Algebraic Topology, An Introduction, Harcourt, Brace and World, 1967.
Massey, W.S.: Homology and Cohomology Theory, An Approach Based on Alexander-Spanier Cochains, Dekker, 1978.
Massey, W.S.: Singular Homology Theory, Springer-Verlag, 1980.
Maunder, C.R.F.: Algebraic Topology, Cambridge Univ. Press, 1980.
Munkres, J.R.: Elements of Algebraic Topology, Addison-Wesley, 1984.
Pontryagin, L.S.: Foundations of Combinational Topology, Graylock Press, 1952.
Schubert H.: Topologie, Teubner Verlagsgesellschaft, 1964.
Seifert, H. and W. Threlfall: Lehrbuch der Topologie, Teubner Verlagsgesellschaft, 1934.
Steenrod, N.E.: The Topology of Fiber Bundles, Princeton University Press, 1951.
Switzer, R.M.: Algebraic Topology—Homotopy and Homology, Springer-Verlag, 1975.
Vick, J.W.: Homology Theory, An Introduction to Algebraic Topology, Academic Press, 1973.
Wallace, A.H.: An Introduction to Algebraic Topology, Pergamon Press, 1957.
Wallace, A.H.: Algebraic Topology, Homology and Cohomology, Benjamin, 1970.
Wilder, R.L.: Topology of Manifolds, American Math Society, 1949.
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Spanier, E.H. (1966). Introduction. In: Algebraic Topology. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9322-1_1
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