学術雑誌論文

学術雑誌論文

text

Order. 2022, 40, p. 149-155

What is - Q for a poset Q?

Springer Nature B.V.

英語

text

2022-04-20

https://doi.org/10.1007/s11083-022-09600-y

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s11083-022-09600-y

In the context of combinatorial reciprocity, it is a natural question to ask what “- Q” is for a poset Q. In a previous work, the definition “- Q: = Q× R with lexicographic order” was proposed based on the notion of Euler characteristic of semialgebraic sets. In fact, by using this definition, Stanley’s reciprocity for order polynomials was generalized to an equality for the Euler characteristics of certain spaces of increasing maps between posets. The purpose of this paper is to refine this result, that is, to show that these spaces are homeomorphic if the topology of Q is metrizable.

87664

What is - Q for a poset Q?

Springer Nature B.V.

英語

2022-04-20

Order

40

149

155

https://doi.org/10.1007/s11083-022-09600-y

https://hdl.handle.net/11094/87664