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January 1, 1959Transactions of the American Mathematical SocietyOpen Access

Natural operations on differential forms

Richard S. Palais

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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.

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Implication

Metamathematical concepts are explored through natural operations in differential forms and topological groups.

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Richard S. Palais (1959) studied this question.

synapsesocial.com/papers/6a12eddb92637892a9a78614 https://doi.org/10.1090/s0002-9947-1959-0116352-7

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