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5 results on '"A V Pazhitnov"'

2. ON THE SHARPNESS OF NOVIKOV TYPE INEQUALITIES FOR MANIFOLDS WITH FREE ABELIAN FUNDAMENTAL GROUP

Author

A V Pazhitnov

Subjects
Algebra, Pure mathematics, Fundamental group, Dense set, General Mathematics, Bibliography, Novikov self-consistency principle, Abelian group, Type (model theory), Cohomology, Mathematics
Abstract

For manifolds Mn, n ≥ 6, with free abelian fundamental group and four-connected universal covering, the author proves the sharpness of Novikov's inequalities for rational cohomology classes ξH1(M, Q) belonging to an open everywhere dense set UH1(M, R). Figures: 1. Bibliography: 20 titles.

Published
1991
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5. ON COMMUTATIVE RING SPECTRA OF CHARACTERISTIC 2

Author

Yu B Rudyak and A V Pazhitnov

Subjects
Reduced ring, Discrete mathematics, Principal ideal ring, Pure mathematics, Ring (mathematics), Noncommutative ring, Primary ideal, General Mathematics, Polynomial ring, Commutative ring, Quotient ring, Mathematics
Abstract

The following theorem (a conjecture of Rourke) is proved: every commutative ring spectrum of characteristic 2 which has finite type is isomorphic to the spectrum of ordinary cohomology theory with coefficients in .Bibliography: 13 titles.

Published
1985
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