Real map germs and higher open books
Raimundo Ara\'ujo dos Santos, Mihai Tib\u{a}r

TL;DR
This paper establishes criteria for the existence of open book structures in real map germs with isolated critical points or values, including weighted-homogeneous maps, expanding understanding of their topological properties.
Contribution
It provides a general criterion for open book structures in real map germs and identifies conditions satisfied by weighted-homogeneous maps.
Findings
Criteria for open book structures in real map germs.
Weighted-homogeneous maps satisfy these criteria.
Sufficient conditions for map germs with isolated critical value.
Abstract
We present a general criterion for the existence of open book structures defined by real map germs , where , with isolated critical point. We show that this is satisfied by weighted-homogeneous maps. We also derive sufficient conditions in case of map germs with isolated critical value.
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