The naive notion of a chain complex makes sense in any pointed category, but its homotopical version is a little more complicated. We define a notion of a tight chain complex in a pointed model or \u221e-category M, and describe the obstructions to obtain one from a naive chain complex in Ho M. We then explain how this theory can be used to explain the notion of the spectral sequence associated to any sequence of maps in M with respect to a \u201ctest object\u201d A \u2208 M. Joint work with Mark Johnson and Jim Turner.
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https:\/\/us02web.zoom.us\/rec\/share\/lP8OYwPcIViXxwHVjgVUDe1_1u2_NhF9VxaoIsbpOsWNQFX4mqrG76j2btKx7AyZ.-3eX7m6tS2tn729z<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" The naive notion of a chain complex makes sense in any pointed category, but its homotopical version is a little more complicated. We define a notion of a tight chain complex in a pointed model or \u221e-category M, and describe…
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