Factoring Continuous Characters Defined on Subgroups of Products of Topological Groups †
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This study is on the factorization properties of continuous homomorphisms defined on subgroups (or submonoids) of products of (para)topological groups (or monoids). A typical result is the following one: Let D=∏i∈IDi be a product of paratopological groups, S be a dense subgroup of D, and χ a continuous character of S. Then one can find a finite set E⊂I and continuous characters χi of Di, for i∈E, such that χ=∏i∈Eχi∘piS, where pi:D→Di is the projection.
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2018 ◽
Vol 28
(06)
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pp. 1091-1100
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2013 ◽
Vol 1
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pp. 22-30
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2020 ◽
Vol 9
(7)
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pp. 4917-4922
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1979 ◽
Vol 44
(3)
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pp. 841-853
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