Bulletin of the American Mathematical Society

MathSciNet review: 1567197
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Book Information:

Author: William S. Massey
Title: Homology and cohomology theory
Additional book information: Monographs and Textbooks in Pure and Applied Mathematics, no. 46, Marcel Dekker, Inc., New York, 1978, xiv + 412 pp. $29.75.

J. W. Alexander, A proof and extension of the Jordan-Brouwer separation theorem, Trans. Amer. Math. Soc. 23 (1922), no. 4, 333–349. MR 1501206, DOI 10.1090/S0002-9947-1922-1501206-6

J. W. Alexander, Combinatorial analysis situs, Trans. Amer. Math. Soc. 28 (1926), no. 2, 301–329. MR 1501346, DOI 10.1090/S0002-9947-1926-1501346-5

3.

J. W. Alexander, On the chains of a complex and their duals, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 509-511.

4.

J. W. Alexander and O. Veblen, Manifolds of n dimensions, Ann. of Math. (2) 14 (1913), 163-178.

Paul Alexandroff, Untersuchungen über Gestalt und Lage abgeschlossener Mengen beliebiger Dimension, Ann. of Math. (2) 30 (1928/29), no. 1-4, 101–187 (German). MR 1502874, DOI 10.2307/1968272

6.

E. Čech, Théorie générale de l'homologie dans un espace quelconque, Fund. Math. 19 (1932), 149-183.

7.

E. Čech, Les groupes de Betti d'une complexe infini, Fund. Math. 25 (1935), 33-44.

Samuel Eilenberg, Singular homology theory, Ann. of Math. (2) 45 (1944), 407–447. MR 10970, DOI 10.2307/1969185

Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886

10.

S. Lefschetz, Topology, Amer. Math. Soc. Colloq. Publ. no. 12, New York, 1930.

11.

S. Lefschetz, On singular chains and cycles, Bull. Amer. Math. Soc. 39 (1933), 124-129.

W. S. Massey, How to give an exposition of the Čech-Alexander-Spanier type homology theory, Amer. Math. Monthly 85 (1978), no. 2, 75–83. MR 488017, DOI 10.2307/2321782

13.

H. Poincaré, Analysis situs, J. École Polytech. 1 (1895), 1-121.

L. Pontrjagin, Über den algebraischen Inhalt topologischer Dualitätssätze, Math. Ann. 105 (1931), no. 1, 165–205 (German). MR 1512710, DOI 10.1007/BF01455814

Edwin H. Spanier, Cohomology theory for general spaces, Ann. of Math. (2) 49 (1948), 407–427. MR 24621, DOI 10.2307/1969289

Heinrich Tietze, Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten, Monatsh. Math. Phys. 19 (1908), no. 1, 1–118 (German). MR 1547755, DOI 10.1007/BF01736688

17.

O. Veblen, Analysis situs, Amer. Math. Soc. Colloq. Publ. no. 5, Part II, New York, 1922.

L. Vietoris, Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen, Math. Ann. 97 (1927), no. 1, 454–472 (German). MR 1512371, DOI 10.1007/BF01447877

Hassler Whitney, On products in a complex, Ann. of Math. (2) 39 (1938), no. 2, 397–432. MR 1503416, DOI 10.2307/1968795

1.

J. W. Alexander, A proof and extension of the Jordan-Brouwer separation theorem, Trans. Amer. Math. Soc. 23 (1922), 333-349. MR 1501206

2.

J. W. Alexander, Combinatorial analysis situs, Trans. Amer. Math. Soc. 28 (1926), 301-329. MR 1501346

3.

J. W. Alexander, On the chains of a complex and their duals, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 509-511.

4.

J. W. Alexander and O. Veblen, Manifolds of n dimensions, Ann. of Math. (2) 14 (1913), 163-178.

5.

P. Alexandroff, Untersuchungen über Gestalt und Lage abgescholossener Mengen beliebiger Dimension, Ann. of Math. (2) 30 (1928), 101-187. MR 1502874

6.

E. Čech, Théorie générale de l'homologie dans un espace quelconque, Fund. Math. 19 (1932), 149-183.

7.

E. Čech, Les groupes de Betti d'une complexe infini, Fund. Math. 25 (1935), 33-44.

8.

S. Eilenberg, Singular homology theory, Ann. of Math. (2) 45 (1944), 407-447. MR 10970

9.

S. Eilenberg and N. Steenrod, Foundations of algebraic topology, Princeton, N. J., 1952. MR 50886

10.

S. Lefschetz, Topology, Amer. Math. Soc. Colloq. Publ. no. 12, New York, 1930.

11.

S. Lefschetz, On singular chains and cycles, Bull. Amer. Math. Soc. 39 (1933), 124-129.

12.

W. S. Massey, How to give an exposition of Čech-Alexander-Spanier type homology theory, Amer. Math. Monthly 85 (1978), 75-83. MR 488017

13.

H. Poincaré, Analysis situs, J. École Polytech. 1 (1895), 1-121.

14.

L. Pontrjagin, Über den algebaischen Inhalt topologischer Duälitätssatze, Math. Ann. 105 (1931), 165-205. MR 1512710

15.

E. H. Spanier, Cohomology theory for general spaces, Ann. of Math. (2) 49 (1948), 407-427. MR 24621

16.

H. Tietze, Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten, Mh. Math. Phys. 19 (1908), 1-118. MR 1547755

17.

O. Veblen, Analysis situs, Amer. Math. Soc. Colloq. Publ. no. 5, Part II, New York, 1922.

18.

L. Vietoris, Über die höheren Zusammenhang Kompakter Räume und eine Klasse von Zusammenhangstreuen Abbildungen, Math. Ann. 97 (1927), 454-472. MR 1512371

19.

H. Whitney, On products in a complex, Ann. of Math. (2) 39 (1938), 397-432. MR 1503416