Free and Semi-inert Cell Attachments
نویسنده
چکیده
Let Y be the space obtained by attaching a finite-type wedge of cells to a simply-connected, finite-type CW-complex. We introduce the free and semi-inert conditions on the attaching map which broadly generalize the previously studied inert condition. Under these conditions we determine H∗(ΩY ;R) as an R-module and as an R-algebra respectively. Under a further condition we show that H∗(ΩY ;R) is generated by Hurewicz images. As an example we study an infinite family of spaces constructed using only semi-inert cell attachments.
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تاریخ انتشار 2005