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Results tagged with gn.general-topology
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user 489909
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
4
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answer
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Whether a functional which preserves maximum for comonotone functions is monotone?
Let $X$ be a compactum (compact Hausdorff space). By $C(X,[0,1])$ we denote the space of continuous functions endowed with the sup-norm We also consider the natural lattice operations $\vee$ and $\ …
- 61
2
votes
Whether a functional which preserves maximum for comonotone functions is monotone?
I have a partial answer: it follows from results of arXiv:2208.07152 that a normed homogeneuos respect any t-norm functional which preserves max for comonotone functions is monotone. But the general q …
- 61