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filter products
Strict inequalities for products of filters ★
Author(s): Porton
Conjecture
for some filter objects
,
. Particularly, is this formula true for
?
![$ \mathcal{A} \times^{\mathsf{\ensuremath{\operatorname{RLD}}}}_F \mathcal{B} \subset \mathcal{A} \ltimes \mathcal{B} \subset \mathcal{A} \times^{\mathsf{\ensuremath{\operatorname{RLD}}}} \mathcal{B} $](/files/tex/333c9bbd34eb26a9a813d527283c1b038b247af3.png)
![$ \mathcal{A} $](/files/tex/3abde4ab7e21fe6fad91d0a03ad306c2c82659d9.png)
![$ \mathcal{B} $](/files/tex/cca7b496bd14e6acf10041305acbd75cd720f9b3.png)
![$ \mathcal{A} = \mathcal{B} = \Delta \cap \uparrow^{\mathbb{R}} \left( 0 ; + \infty \right) $](/files/tex/34af23595994335e2e2b76a7cd787c6fce57e186.png)
A weaker conjecture:
Conjecture
for some filter objects
,
.
![$ \mathcal{A} \times^{\mathsf{\ensuremath{\operatorname{RLD}}}}_F \mathcal{B} \subset \mathcal{A} \ltimes \mathcal{B} $](/files/tex/64050fc1df5a7d5bc9cf7f4f90fe71a78d003a0b.png)
![$ \mathcal{A} $](/files/tex/3abde4ab7e21fe6fad91d0a03ad306c2c82659d9.png)
![$ \mathcal{B} $](/files/tex/cca7b496bd14e6acf10041305acbd75cd720f9b3.png)
Keywords: filter products
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