Associative algebra twisted bundles over compact topological spaces

For the associative algebra A(g) of an infinite-dimensional Lie g, we introduce twisted fiber bundles over arbitrary compact topological spaces. Fibers such are given by elements algebraic completion space formal series in complex parameters, sections provided rational functions with prescribed analytic properties. Homotopical invariance as well covariance terms trivial A(g)-bundles is proven. Further applications paper's results useful for studies cohomology algebras on smooth manifolds, K-theory, purposes conformal field theory, deformation theory [10], [14], [15], and foliations mentioned.