What question did this study set out to answer?

The research focuses on defining operations on differential forms using a topological framework.

January 1, 1959Open Access

Natural operations on differential forms

Key Points

The research focuses on defining operations on differential forms using a topological framework.
Defined Bh{M) inductively with B^{M}=M and B^{k+1}(M)=bundle of frames of Bk(M).
Showed that each induces a diffeomorphism of BW{M}.
Established a topology on G that makes it a topological group.
Demonstrated that G(t) is a topological group under the compact-open topology.
Proved that Tm C r<*+1> and T is the union of the Tm.

Abstract

1 Metamathematical terms are notoriously difficult to define in a precise sense that has the proper degree of generality.Since any reasonable interpretation of these terms will be acceptable for present purposes we have not attempted to make them precise.8 By differentiable we shall always mean of class C. 125 3 This can be seen by the following more intrinsic definition of T.Define Bh{M) inductively by B"{M)=M, B*+1(AO=the bundle of frames of Bk(M).Then each 4>EG induces a diffeomorphism 0"' of BW{M) and *-0 and it is easily shown that T is the union of the Tm.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Richard S. Palais

Northeastern University

Journals

Transactions of the American Mathematical Society

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Natural operations on differential forms

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study