Nilpotent Spaces of Sections
نویسنده
چکیده
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected].. American Mathematical Society is collaborating with JSTOR to digitize, preserve and extend access to Transactions of the American Mathematical Society. ABSTRACT. The space of sections of a fibration is nilpotent provided the base is finite CW-complex and the fiber is nilpotent. Moreover, localization commutes with the formation of section spaces. 1. Introduction. In their famous book on localization theory and later in the proceedings of the Vancouver 1977 conference, Hilton et al. showed that (any component of) the space of maps of a finite CW-complex into a nilpotent space is itself nilpotent [5, II. 2.6; 6, Theorem A]. The main purpose of this paper is to state and prove a twisted and relative version of their result.
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تاریخ انتشار 2009