Book Review
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MathSciNet review:
1567309
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Book Information:
Author:
William S. Massey
Title:
Singular homology theory
Additional book information:
Graduate Texts in Math., Springer-Verlag, 1980, xii + 265 pp., $24.80.
1. J. F. Adams, Algebraic topology: A student's guide, London Math. Soc. Lecture Notes Series, No. 4, Cambridge Univ. Press, London-New York, 1972.
Max K. Agoston, Algebraic topology: a first course, Monographs and Textbooks in Pure and Applied Mathematics, No. 32, Marcel Dekker, Inc., New York-Basel, 1976. MR 0445485
P. S. Aleksandrov, Combinatorial topology. Vol. 1, Graylock Press, Rochester, N.Y., 1956. MR 0076324
P. Alexandroff and H. Hopf, Topologie. I, Die Grundlehren der mathematischen Wissenschaften, Band 45, Springer-Verlag, Berlin-New York, 1974. Berichtigter Reprint. MR 0345087
Emil Artin and Hel Braun, Introduction to algebraic topology, Charles E. Merrill Publishing Co., Columbus, Ohio, 1969. Translated from the notes of Armin Thedy and Hel Braun by Erik Hemmingsen. MR 0247624
D. G. Bourgin, Modern algebraic topology, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1963. MR 0160201
Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
8. H. Cartan, Seminaire Henri Cartan 1948/49: Topologie algébrique, Benjamin, New York, 1967.
George E. Cooke and Ross L. Finney, Homology of cell complexes, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1967. Based on lectures by Norman E. Steenrod. MR 0219059
Fred H. Croom, Basic concepts of algebraic topology, Undergraduate Texts in Mathematics, Springer-Verlag, New York-Heidelberg, 1978. MR 0478127
A. Dold, Lectures on algebraic topology, Die Grundlehren der mathematischen Wissenschaften, Band 200, Springer-Verlag, New York-Berlin, 1972 (German). MR 0415602
Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886
Wolfgang Franz, Topologie. II. Algebraische Topologie, Sammlung Göschen, Bd. 1182/1182a, Walter de Gruyter & Co., Berlin, 1965 (German). MR 0180962
Maurice Fréchet and Ky Fan, Introducción a la topología combinatoria, 3rd ed., Cuadernos de EUDEBA, No. 7, Editorial Universitaria de Buenos Aires, Buenos Aires, 1967 (Spanish). Translated from the French by D. A. H. Nogués. MR 0224054
Brayton Gray, Homotopy theory, Pure and Applied Mathematics, Vol. 64, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. An introduction to algebraic topology. MR 0402714
Marvin J. Greenberg, Lectures on algebraic topology, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0215295
P. J. Hilton and S. Wylie, Homology theory: An introduction to algebraic topology, Cambridge University Press, New York, 1960. MR 0115161
Sze-tsen Hu, Homology theory: A first course in algebraic topology, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1966. MR 0217786
19. S. Lefschetz, Topology, Amer. Math. Soc. Colloq. Publ., no. 12, Amer. Math. Soc., New York, 1930.
Solomon Lefschetz, Algebraic Topology, American Mathematical Society Colloquium Publications, Vol. 27, American Mathematical Society, New York, 1942. MR 0007093
Solomon Lefschetz, Topics in Topology, Annals of Mathematics Studies, No. 10, Princeton University Press, Princeton, N. J., 1942. MR 0007094
Solomon Lefschetz, Introduction to Topology, Princeton Mathematical Series, vol. 11, Princeton University Press, Princeton, N. J., 1949. MR 0031708
William S. Massey, Algebraic topology: An introduction, Harcourt, Brace & World, Inc., New York, 1967. MR 0211390
William S. Massey, Homology and cohomology theory, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 46, Marcel Dekker, Inc., New York-Basel, 1978. An approach based on Alexander-Spanier cochains. MR 0488016
25. H. Poincaré, Analysis situs, J. École Poly. Paris 1 (1895), 1-123.
W. Rinow, Lehrbuch der Topologie, Hochschulbücher für Mathematik, Band 79, VEB Deutscher Verlag der Wissenschaften, Berlin, 1975 (German). MR 0514884
Horst Schubert, Topologie. Eine Einführung, Mathematische Leitfäden, B. G. Teubner Verlagsgesellschaft, Stuttgart, 1964 (German). MR 0170313
Herbert Seifert and William Threlfall, Seifert and Threlfall: a textbook of topology, Pure and Applied Mathematics, vol. 89, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. Translated from the German edition of 1934 by Michael A. Goldman; With a preface by Joan S. Birman; With “Topology of $3$-dimensional fibered spaces” by Seifert; Translated from the German by Wolfgang Heil. MR 575168
Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
Robert M. Switzer, Algebraic topology—homotopy and homology, Die Grundlehren der mathematischen Wissenschaften, Band 212, Springer-Verlag, New York-Heidelberg, 1975. MR 0385836
31. O. Veblen, Analysis situs, Amer. Math. Soc. Colloq. Publ., no. 5, Amer. Math. Soc., New York, 1931.
James W. Vick, Homology theory, Pure and Applied Mathematics, Vol. 53, Academic Press, New York-London, 1973. An introduction to algebraic topology. MR 0375279
Andrew H. Wallace, An introduction to algebraic topology, Pergamon Press, New York-London, Paris, 1957. MR 0088722
George W. Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics, vol. 61, Springer-Verlag, New York-Berlin, 1978. MR 516508
- 1.
- J. F. Adams, Algebraic topology: A student's guide, London Math. Soc. Lecture Notes Series, No. 4, Cambridge Univ. Press, London-New York, 1972.
- 2.
- M. Agoston, Algebraic topology: A first course, Monographs and Textbooks in Pure and Applied Math., No. 32, Dekker, New York-Basel, 1976. MR 0445485
- 3.
- P. S. Aleksandrov, Combinatorial topology, Graylock Press, Rochester, New York, 1956. MR 76324
- 4.
- P. S. Aleksandrov and H. Hopf, Topologie, Die Grundlehren der Math. Wissenschaften, Band 45, Springer-Verlag, Berlin-New York, 1974. MR 345087
- 5.
- E. Artin and H. Braun, Introduction to algebraic topology, Merrill, Columbus, Ohio, 1969. MR 247624
- 6.
- D. G. Bourgin, Modern algebraic topology, Macmillan, New York, 1963. MR 160201
- 7.
- H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, Princeton, N. J., 1956. MR 77480
- 8.
- H. Cartan, Seminaire Henri Cartan 1948/49: Topologie algébrique, Benjamin, New York, 1967.
- 9.
- G. E. Cooke and R. L. Finney, Homology of cell complexes (based on lectures of N. Steenrod), Princeton Univ. Press, Princeton, N. J., 1967. MR 219059
- 10.
- F. H. Croom, Basic Concepts of algebraic topology, Undergraduate Texts in Math., Springer-Verlag, New York-Heidelberg, 1978. MR 478127
- 11.
- A. Dold, Lectures on algebraic topology, Die Grundlehren der Math. Wissenschaften, Band 200, Springer-Verlag, New York-Berlin, 1972. MR 415602
- 12.
- S. Eilenberg and N. Steenrod, Foundations of algebraic topology, Princeton Univ. Press, Princeton, N. J., 1952. MR 50886
- 13.
- W. Franz, Topologie. II. Algebraische Topologie, Sammlung Göschen, Band 1182, Walter de Gruyter, Berlin, 1965. MR 180962
- 14.
- M. Fréchet and K. Fan, Introduction to combinatorial topology, Prindle, Weber, & Schmidt, Boston, 1967. MR 224054
- 15.
- B. Gray, Homotopy theory, Pure and Applied Math., vol. 64, Academic Press, New York-London, 1975. MR 402714
- 16.
- M. Greenberg, Lectures on algebraic topology, Benjamin, New York, 1967. MR 215295
- 17.
- P. J. Hilton and S. Wylie, Homology theory, Cambridge Univ. Press, London-New York, 1960. MR 115161
- 18.
- S.-T. Hu, Homology Theory: A first course in algebraic topology, Holden-Day, San Francisco, 1966. MR 217786
- 19.
- S. Lefschetz, Topology, Amer. Math. Soc. Colloq. Publ., no. 12, Amer. Math. Soc., New York, 1930.
- 20.
- S. Lefschetz, Algebraic topology, Amer. Math. Soc. Colloq. Publ., no. 27, Amer. Math. Soc., New York, 1942. MR 7093
- 21.
- S. Lefschetz, Topics in topology, Ann. of Math. Studies, No. 10, Princeton Univ. Press, Princeton, N. J., 1942. MR 7094
- 22.
- S. Lefschetz, Introduction to topology, Princeton Univ. Press, Princeton, N. J., 1949. MR 31708
- 23.
- W. S. Massey, Algebraic topology: An introduction, Harcourt, New York, 1967. MR 211390
- 24.
- W. S. Massey, Homology and cohomology theory: An approach based on Alexander-Spanier cochains, Dekker, New York, 1978. MR 488016
- 25.
- H. Poincaré, Analysis situs, J. École Poly. Paris 1 (1895), 1-123.
- 26.
- W. Rinow, Lehrbuch der Topologie, Hochschulbücher fur Mathematik, Band 79, VEB Deutscher Verlag der Wiss., Berlin, 1975. MR 514884
- 27.
- H. Schubert, Topologie, Mathematische Leitfäden, Teubner, Stuttgart, 1964. MR 170313
- 28.
- H. Seifert and W. Threlfall, Lehrbuch der Topologie, Teubner, Berlin, 1934. English translation: A textbook of topology, Academic Press, New York-London, 1980. MR 575168
- 29.
- E. H. Spanier, Algebraic topology, McGraw-Hill, New York, 1966. MR 210112
- 30.
- R. M. Switzer, Algebraic topology: Homotopy and homology, Die Grundlehren der Math. Wissenschaften, Band 212, Springer-Verlag, New York-Heidelberg, 1975. MR 385836
- 31.
- O. Veblen, Analysis situs, Amer. Math. Soc. Colloq. Publ., no. 5, Amer. Math. Soc., New York, 1931.
- 32.
- J. W. Vick, Homology theory, Pure and Applied Math., vol. 53, Academic Press, New York-London, 1973. MR 375279
- 33.
- A. H. Wallace, An introduction to algebraic topology, Pergamon, Oxford, 1957. MR 88722
- 34.
- G. W. Whitehead, Elements of homotopy theory, Graduate Texts in Math., no. 61, Springer-Verlag, New York-Heidelberg, 1978. MR 516508
Review Information:
Reviewer:
James W. Vick
Journal:
Bull. Amer. Math. Soc.
4 (1981), 229-233
DOI:
https://doi.org/10.1090/S0273-0979-1981-14892-8
