On the Čech and axiomatic cohomology of product spaces
Czechoslovak Mathematical Journal, Tome 34 (1984) no. 3, pp. 439-474

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DOI : 10.21136/CMJ.1984.101970
Classification : 55N05, 55N20
Bartík, Vojtěch. On the Čech and axiomatic cohomology of product spaces. Czechoslovak Mathematical Journal, Tome 34 (1984) no. 3, pp. 439-474. doi: 10.21136/CMJ.1984.101970
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[1] Bartík V.: Alexandroff-Čech cohomology and mappings into Eilenberg-McLane polyhedra. (in Russian), Mat. Sbornik, N. S., 76 (118) : 2 (1968), 231-238. | MR

[2] Bartík V.: General bridge mapping theorem. (in Russian), CMUC 16, 4 (1975), 693 - 698. | MR

[3] Bartík V.: Bridge mapping theorem and normal Čech cohomology, spectral sequences in axiomatic cohomology theories, uniqueness theorems, and the normal Čech cohomology and Čech cohomology of product spaces. (in Czech), Thesis, Matematický ústav ČSAV, Praha 1976.

[4] Bartík V.: Normal Čech cohomology. (in Russian), Trudy Tbiliskogo matem. inst. LIX, Sbornik rabot po topologii II, Tbilisi, 1978.

[5] Bredon G. E.: On the Kiinneth formula and functorial dependence in algebraic topology. Amer. J. Math., 90 (2) (1968), 522-527. | DOI | MR

[6] Dold A.: Halbexakte Homotopiefunktoren. Lecture Notes in Mathematics, No. 12, 1966. | MR | Zbl

[7] Dold A.: Lectures in Algebraic Topology. Springer-Verlag, 1972. | MR

[8] Eilenberg S., Steenrod N.: Foundations of Algebraic Topology. Princeton, 1952. | MR | Zbl

[9] Hilton P. J., Stammbach U.: A Course in Homological Algebra. Springer-Verlag, 1970. | MR

[10] Hoshina T., Morita K.: C-embeddings and the homotopy extension property. General Topology and its Applications, 5 (1975), 69-81. | MR

[11] Lamotke K.: Semisimpiiziale algebraische Topologie. Springer-Verlag, 1968. | MR

[12] May P.: Simplicial Objects in Algebraic Topology. D. van Nostrand Company, Inc., 1967. | MR

[13] Milnor J.: The geometric realization of a semi-simplicial complex. Annals of Math., (2) 65 (1957), 357-362. | DOI | MR | Zbl

[14] Milnor J.: On spaces having the homotopy type of a CW-complex. Trans. Amer. Math. Soc, 90 (1959), 272-280. | MR

[15] Morita K.: Čech cohomology and covering dimension for topological spaces. Fund. Math. 87 (1975), 31-52. | DOI | MR | Zbl

[16] Morita K.: On generalizations of Borsuk's homotopy extension theorem. Fund. Math., 88 (1975), 1-6. | DOI | MR | Zbl

[17] O'Neil R. C: The Cech cohomology of paracompact product spaces. Amer. J. Math., 87 (1965), 71-78. | DOI | MR

[18] Skljarenko E. G.: The theorem on mappings lowering dimension. (in Russian), Bulletin de l'Académie Polonaise des Sciences, Serie des sciences math., astr. et phys., 10 (1962), 429-432. | MR

[19] Spanier E. H.: Algebraic Topology. Springer-Verlag, 1981. | MR

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