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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Steenrod-Sitnikov homology for arbitrary spaces
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by Ju. T. Lisica and S. Mardešić PDF
Bull. Amer. Math. Soc. 9 (1983), 207-210
References
  • N. A. Berikašvili, The Steenrod-Sitnikov homology theory on the category of compact spaces, Dokl. Akad. Nauk SSSR 254 (1980), no. 6, 1289–1291 (Russian). MR 592491
  • Yu. T. Lisitsa, Duality theorems and dual categories of shapes and coshapes, Dokl. Akad. Nauk SSSR 263 (1982), no. 3, 532–536 (Russian). MR 650357
  • Yu. T. Lisitsa, Strong shape theory and Steenrod-Sitnikov homology, Sibirsk. Mat. Zh. 24 (1983), no. 4, 81–99 (Russian). MR 713586
  • 4. Ju. T. Lisica and S. Mardešić, Coherent prohomotopy and strong shape, Proceedings of the Leningrad Topology Conference, 1982, Springer Lecture Notes.
  • Sibe Mardešić, Approximate polyhedra, resolutions of maps and shape fibrations, Fund. Math. 114 (1981), no. 1, 53–78. MR 643305, DOI 10.4064/fm-114-1-53-78
  • Sibe Mardešić and Jack Segal, Shape theory, North-Holland Mathematical Library, vol. 26, North-Holland Publishing Co., Amsterdam-New York, 1982. The inverse system approach. MR 676973
  • 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
  • 8. J. Milnor, On the Steenrod homology theory, mimeographed notes, Berkeley, 1960.
  • E. G. Skljarenko, On the homology theory associated with Aleksandrov-Čech cohomology, Uspekhi Mat. Nauk 34 (1979), no. 6(210), 90–118 (Russian). MR 562822
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 9 (1983), 207-210
  • MSC (1980): Primary 55N07, 55P55, 54B25
  • DOI: https://doi.org/10.1090/S0273-0979-1983-15156-X
  • MathSciNet review: 707958