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The whitehead Heritage

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References

A: Partial List of Whltehead Publications

  1. Certain theorems about three-dimensional manifolds (I),Quart. J. Math. (2)5(1934), 308–320.

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  2. On the decomposition of an infinitesimal group,Proc. Camb. Phil. Soc. 32 (1936), 229–237.

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  3. On certain sets of elements in a free group,Proc. London Math. Soc. (2)41 (1936), 48–56.

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  4. On equivalent sets of elements in a free group,Ann. Math. (2) 37 (1936), 782–800.

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  5. Certain equations in the algebra of a semi-simple infinitesimal group,Quart. J. Math. (2) 8 (1937), 220–237.

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  6. Simplicial spaces, nuclei and m-groups,Proc. London Math. Soc. (2)45(1939), 243–327.

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  7. On Cp1-complexes,Ann. Math. (2) 41 (1940), 809–824.

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  8. On adding relations to homotopy groups,Ann. Math. (2) 42 (1941), 409–428.

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  9. On incidence matrices, nuclei and homotopy types,Ann. Math. (2) 42 (1941), 1197–1239.

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  10. On the groupsπ b r(Vn,m) and sphere-bundles,Proc. London Math. Soc. (2)48 (1944), 243–291.

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  11. On simply-connected 4-dimensional polyhedra,Commen. Math. Helv. 22 (1949), 48–92.

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  12. Note on a theorem due to Borsuk,Bull. Amer. Math. Soc. 54 (1948), 1125–1132.

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  13. On the homotopy type of ANR’s,Bull. Amer. Math. Soc. 54 (1948), 1133–1145.

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  14. Combinatorial homotopy,Bull. Amer. Math. Soc. 55 (1949), Part I 213–245; Part II 453–496.

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  15. The homotypy type of a special kind of polyhedron,Ann. Soc. Polonaise Math. 21 (1948), 176–186.

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  16. Simple homotopy types,Amer. J. Math. 72 (1950), 1–57.

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  17. Note on suspension,Quart. J. Math. (2) 1 (1950), 9–22.

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  18. A certain exact sequence,Ann. Math. (2) 52 (1950), 51–110.

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  19. (with E. Spanier) A first approximation to homotopy theory,Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 655–660.

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  20. The G-dual of a semi-exact couple,Proc. London Math. Soc. (3) 3 (1953), 385–416.

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  21. On the (n + 2)-tuple of an (n - 1)-connected complex (n ≥ 4),Proc. London Math. Soc. (3) 4 (1954), 1–23.

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  22. (with E. Spanier) The theory of carriers and S-theory,Algebraic Geometry and Topology, Princeton, NJ: Princeton University Press, 1957, pp. 329–360.

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  23. (with E. Spanier) Duality in homotopy theory,Mathematika 2 (1955), 56–80.

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  24. (with E. Spanier) Duality in relative homotopy theory,Ann. Math. (2)67 (1958), 203–238.

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  25. On finite cocycles and the sphere theorem,Colloq. Math. 6 (1958), 271–281.

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B: Commentaries on Whltehead’s Life and Work

  1. P.J. Hilton, Memorial tribute to J.H.C. Whitehead,Enseignement mathématique 7 (1961), 107–125.

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  2. I.M. James, Reminiscences of a topologist,Mathematical Intelligencer 12 (1) (1960), 50–55.

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  3. J.W. Milnor, The work of J.H.C. Whitehead,The Mathematical Works of J.H.C. Whitehead, New York: Pergamon Press, 1962, pp. xxi-xxxiii.

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  4. M.H.A. Newman, John Henry Constantine Whitehead,Biogr. Mem. Roy. Soc. 7 (1961), 349–363.

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  5. M.H.A. Newman and B. Whitehead, A biographical note,The Mathematical Works of J.H.C. Whitehead, New York: Pergamon Press, 1962, pp. xv-xix.

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  6. S. Wylie, John Henry Constantine Whitehead,J. London Math. Soc. 37 (1962), 257–273.

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C: Other Publications Cited

  1. HJ. Baues and M. Hennés, The homotopy classification of (n - 1)-connected (n + 3)-dimensional polyhedra, n≥4,Topology 30 (1991), 373–408.

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  2. B. Eckmann and S. Maumary, Le groupe des types simples d’ho-motopie sur un polyèdre,Essays on Topology and Related Topics Mémoires dédiés à George de Rham), New York: Springer-Verlag, 1970, pp. 173–187.

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  3. H. Freudenthal, Über die Klassen der Sphärenabbildungen,Compositio Math. 5 (1937), 299–314.

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  4. J. Milnor, Whitehead torsion,Bull. Amer. Math. Soc. 72 (1966), 358–426.

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  5. C. Squier, A finiteness condition for rewriting systems,J. Theoret. Computer Sci. 131 (1994), 271–294.

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  6. C.T.C. Wall, Finiteness conditions for CW-complexes,Ann. Math. (2)81 (1965), 55–69.

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  7. C.T.C. Wall, Finiteness conditions for CW-complexes II,Proc. Roy. Soc. London Ser. A 295 (1966), 129–139.

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Hilton, P., James, I. The whitehead Heritage. The Mathematical Intelligencer 19, 58–63 (1997). https://doi.org/10.1007/BF03024342

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