Transactions of the American Mathematical Society, Vol. 276, No. 2 (Apr., 1983), pp. 625-643 (19 pages) In this paper we prove that every smooth paracompact connected ...

However, the gauge theory invariants run into trouble with small 4-manifolds, such as those with the same homology groups as the 4D sphere, S 4. In particular, the smooth 4D Poincaré Conjecture, the ...

In this paper, we use homotopical algebra (or abstract homotopical methods) to study smooth homotopical problems of infinite-dimensional \(C^\infty\)-manifolds in convenient calculus. More precisely, ...

Abstract: Estimation algebras have been extensively studied in Euclidean space, where finite-dimensional estimation algebras form the foundation of the Kalman and Benes filters, and have contributed ...