Commutative cochains of germs of differential forms for Euclidean compacta

The purpose of the paper is for any compactum K⊂Rn to construct a space Cp(K) of commutative germs of C∞-differential p-forms, which is a reflexive locally convex topological vector space with the Cp(K) as its dual. © 2010 Elsevier B.V.

Authors
Marchenko V.V. 1
Journal
Topology and its Applications
Number of issue
17
Language
English
Pages
2736-2745
Status
Published
Link
External link
DOI
10.1016/J.TOPOL.2010.07.024
Volume
157
Year
2010
Organizations
  • 1 Mathematical Analysis and Function Theory Department, Russian University of Peoples' Friendship, Miklukho-Maklay str. 6, 117198 Moscow, Russian Federation
Keywords
Currents; Direct limit; Germs of differential forms; Inverse limit; Reflexivity
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