Abstract
We investigate the homotopy category of a Λ-cofibration category and compare the homotopy categories of Global Actions, Simplicial Complexes and Topological Spaces.
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Bak, A.: Global Actions: The algebraic counterpart of a topological space, invited article for the 100'th ann. of P. S. Alexandroff, Uspekhi Mat. Nauk. English transl.: Russian Math Surveys 52(5) (1997), 955–996.
Bak, A.: Topological methods in algebra, in Rings, Hopf Algebras and Brauer Groups, Lecture Notes in Pure and Appl. Math. 197, 1998.
Baues, J.: Algebraic Homotopy, Cambridge Stud. Adv. Math. 15, 1989.
Minian, E. G.: Generalized cofibration categories and global actions, K-Theory 20(1) (2000), 37–95.
Quillen, D. G.: Homotopical Algebra, Lectures Notes in Math. 43, 1967.
Spanier, E.: Algebraic Topology, McGraw-Hill, 1966.
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Minian, E.G. Λ-Cofibration Categories and the Homotopy Categories of Global Actions and Simplicial Complexes. Applied Categorical Structures 10, 1–21 (2002). https://doi.org/10.1023/A:1013377004339
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DOI: https://doi.org/10.1023/A:1013377004339