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YCor
YCor
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yesThe question is about infinite families in stable homotopy groups. Yes, there are some Q&A about the topic.

butBut I wonder if the order of Mahowald's elements is known? in Green Book it mentioned that the order is presumably 4, and less likely is 2, but what is current situation?

whichWhich elements in ANSS (integral or mod 2) detect them? certain elements of \beta$\beta$-family?

sameSame questions about Bruner's family. Lin's family is also interesting (though it has quite high Adam's filtration, but may be its Novikov's filtration is much smaller)

thanks a lot!

yes, there are some Q&A about the topic.

but I wonder if the order of Mahowald's elements is known? in Green Book it mentioned that the order is presumably 4, and less likely is 2, but what is current situation?

which elements in ANSS (integral or mod 2) detect them? certain elements of \beta-family?

same questions about Bruner's family. Lin's family is also interesting (though it has quite high Adam's filtration, but may be its Novikov's filtration is much smaller)

thanks a lot!

The question is about infinite families in stable homotopy groups. Yes, there are some Q&A about the topic.

But I wonder if the order of Mahowald's elements is known? in Green Book it mentioned that the order is presumably 4, and less likely is 2, but what is current situation?

Which elements in ANSS (integral or mod 2) detect them? certain elements of $\beta$-family?

Same questions about Bruner's family. Lin's family is also interesting (though it has quite high Adam's filtration, but may be its Novikov's filtration is much smaller)

Source Link
Dr.Martens
Dr.Martens
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infinite families in stable homotopy groups

yes, there are some Q&A about the topic.

but I wonder if the order of Mahowald's elements is known? in Green Book it mentioned that the order is presumably 4, and less likely is 2, but what is current situation?

which elements in ANSS (integral or mod 2) detect them? certain elements of \beta-family?

same questions about Bruner's family. Lin's family is also interesting (though it has quite high Adam's filtration, but may be its Novikov's filtration is much smaller)

thanks a lot!