Bulletin of the Australian Mathematical Society

Research Article

Manifolds of smooth maps II: transversality

Truong Công Nghêa1

a1 Department of Pure Mathematics, University of Sydney, Sydney, New South Wales 2006, Australia.

Abstract

We generalise the standard notion of transversality to maps between manifolds modelled on locally convex spaces and prove that all standard transversal theorems remain valid for this generalised notion.

As first applications, we use our generalised Transversal Density Theorem to prove several simple “generic” results for local smooth maps which parallel the usual ones.

(Received February 12 1981)