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On some products in pro-categories and shape categories Cover
By: I. Pop  
Open Access
|Sep 2019

References

  1. [1] W. Holsztyński, An extension and axiomatic charcaterization of Borsuk’s theory of shape, Fund. Math., 70 (1971), 1105-1108.10.4064/fm-70-2-157-168
  2. [2] I.C. Isaksen, A model structure for the category of pro-simplicial sets, Trans. Amer. Math. Soc. 353 (2001), 2805-2841.10.1090/S0002-9947-01-02722-2
  3. [3] I.C. Isaksen, Calculating limits and colimits in pro-categories, Fundam.Math. 175, No.2, 175-194 (2002).10.4064/fm175-2-7
  4. [4] J. Keesling, Products in the shape category and some applications, Symp. Math. Inst. Nazionale di Alta Matematica 16 (1973), Academic Press, New York, 1974, 133-142.
  5. [5] Y. Kodama, On shape of product spaces, General Topology and its Applications 8 (1978) 141-150.10.1016/0016-660X(78)90045-4
  6. [6] S. Mardešić, Shapes for topological spaces, Gen. Top. and its Appl., 3 (1973), 265-282.10.1016/0016-660X(72)90018-9
  7. [7] S. Mardešić, Products of compacta with polyhedra and topological spaces in the shape category, Mediterr. J. Math. 1 (2004), 43-49.10.1007/s00009-004-0003-9
  8. [8] S. Mardešić and J. Segal, Shape Theory. The Inverse System Approach, North Holand Publ. Co. 1982.
  9. [9] S. Mardešić and J. Segal, History of Shape Theory and its Application to General Topology, Handbook of the History of General Topology, Vol. 3, Kluwer Acad. Publ. 2001, pp. 1145-1179.10.1007/978-94-017-0470-0_6
  10. [10] J. Dydak and S. Mardešić, A counterexample concerning products in the shape category, Fundamenta Math. 186 (2005), pp. 39-54.10.4064/fm186-1-3
  11. [11] D. Quillen, Homotopical Algebra, Lecture Notes in Math. 43, Springer Verlag (1967).10.1007/BFb0097438
DOI: https://doi.org/10.2478/auom-2019-0024 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 139 - 151
Submitted on: Oct 29, 2018
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Accepted on: Nov 30, 2018
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Published on: Sep 26, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 I. Pop, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.