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A Parallel Section Functor for 2-Vector Bundles

, 2017
We associate to a 2-vector bundle over an essentially finite groupoid a 2-vector space of parallel sections, or, in representation theoretic terms, of higher invariants, which can be described as homotopy fixed points. Our main result is the extension of
Schweigert, Christoph, Woike, Lukas
core

Completely continuous movements in topological vector spaces [PDF]

, 1957
J. H. Michael
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Hypercyclic operators on topological vector spaces [PDF]

, 2012
Stanislav Shkarin
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On the Dimension of a Complete Metrizable Topological Vector Space [PDF]

, 1977
J. O. Popoola, I. Tweddle
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Heredity in fundamental left complemented algebras [PDF]

Surveys in Mathematics and its Applications, 2016
In the present paper, we introduce the notion of a fundamental complemented linear space, through continuous projections. This notion is hereditary. Relative to this, we prove that if a certain topological algebra is fundamental, then a concrete subspace
Marina Haralampidou, Konstantinos Tzironis +1 more
doaj

Topological singular set of vector-valued maps, I: applications to manifold-constrained Sobolev and BV spaces [PDF]

, 2019
Giacomo Canevari, Giandomenico Orlandi
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Direct sums and products in topological groups and vector spaces [PDF]