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Some examples of nontrivial homotopy groups of modules

2001
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International Journal of Mathematics and Mathematical Sciences
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The concept of the homotopy theory of modules was discovered by Peter Hilton as a result of his trip in 1955 to Warsaw, Poland, to work with Karol Borsuk, and to Zurich, Switzerland, to work with Beno Eckmann. The idea was to produce an analog of homotopy theory in topology. Yet, unlike homotopy theory in topology, there are two homotopy theories of modules, the injective theory,π¯n(A,B), and the projective theory,π¯n(A,B). They are dual, but not isomorphic. In this paper, we deliver and carry

doi:10.1155/s0161171201005373
fatcat:adorqvxgf5g3zmrvpjtqepcfzu