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On β‐elements in the Adams–Novikov spectral sequence
Author(s) -
Nakai Hirofumi,
Ravenel Douglas C.
Publication year - 2009
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtp012
Subject(s) - novikov self consistency principle , spectral sequence , mathematics , dimension (graph theory) , sequence (biology) , pure mathematics , range (aeronautics) , algebra over a field , exact sequence , biology , genetics , materials science , cohomology , composite material
In this paper we detect invariants in the comodule consisting of β‐elements over the Hopf algebroid ( A(m+1 ), G(m+1 )) defined in [4], and we show that some related Ext groups vanish below a certain dimension. The result obtained here will be extensively used in future work with Ravenel to extend the range of our knowledge for π * ( T(m )) obtained in [4].