Cobordism and Stiefel–Whitney numbers

CHARACTERISTIC NUMBERS AND COBORDISM CLASSES OF FIBERINGS WITH FIBER RP (2k)

Some groups An of n-dimensional unoriented cobordism classes represented by the total space of a fibering with the real projective space RP (2k) as fiber are determined.

Cobordism and foliations

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Cobordism and Exotic Spheres

Preface Jules Henri Poincaré may rightly be considered the father of modern topology (Leonhard Euler and the Königsberg bridges notwithstanding). It is fitting, therefore, that many of the questions explored in this thesis originated with Poincaré. Poincaré's famous conjecture – which has driven so much of twentieth-century topology – arose, in fact, as the successor of an earlier conjecture. P...

Cobordism and Hopf’s Theorem

Algebraic Cobordism

Together with F. Morel, we have constructed in [6, 7, 8] a theory of algebraic cobordism, an algebro-geometric version of the topological theory of complex cobordism. In this paper, we give a survey of the construction and main results of this theory; in the final section, we propose a candidate for a theory of higher algebraic cobordism, which hopefully agrees with the cohomology theory repres...