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On symplectic cobordism of real projective plane.

Malkhaz Bakuradze (2000)

Publicacions Matemàtiques

This note answers a question of V. V. Vershinin concerning the properties of Buchstaber's elements Θ2i+1(2) in the symplectic cobordism ring of the real projective plane. It is motivated by Roush's famous result that the restriction of these elements to the projective line is trivial, and by the relationship with obstructions to multiplication in symplectic cobordism with singularities.

On the Bézout equation in the ring of periodic distributions

Rudolf Rupp, Amol Sasane (2016)

Topological Algebra and its Applications

A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the sequence of Fourier coefficients of these distributions,which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of D'A(Rd) are both equal to 1.

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