2 citations · 5 across the 11 of their papers we have counts for
11 papers
Extending Games beyond the Finite Horizon
Kiri Sakahara, Takashi Sato
This paper argues that the finite horizon paradox, where game theory contradicts intuition, stems from the limitations of standard number systems in modelling the cognitive percept…
A Foundation of -superadditive Measures -- a note on advancing Kalina measures -
Kiri Sakahara, Takashi Sato
The present paper attempts to modify the way of constructing a measure in the Alternative Set Theory setting originally devised by Martin Kalina. Introducing a system of cuts of ra…
Regular semisimple Hessenberg varieties with cohomology rings generated in degree two
Mikiya Masuda, Takashi Sato
A regular semisimple Hessenberg variety is a smooth subvariety of the flag variety determined by a square matrix with distinct eigenvalues and a Hessenberg…
Unicellular LLT polynomials and twin of regular semisimple Hessenberg varieties
Mikiya Masuda, Takashi Sato
The solution of Shareshian-Wachs conjecture by Brosnan-Chow linked together the cohomology of regular semisimple Hessenberg varieties and graded chromatic symmetric functions on un…
The second cohomology of regular semisimple Hessenberg varieties from GKM theory
Anton Ayzenberg, Mikiya Masuda, Takashi Sato
We describe the second cohomology of a regular semisimple Hessenberg variety by generators and relations explicitly in terms of GKM theory. The cohomology of a regular semisimple H…
Real Functions and its Differentiation in Alternative Set Theory
Kiri Sakahara, Takashi Sato
In the previous paper (Kiri Sakahara and Takashi Sato. Basic Topological Concepts and a Construction of Real Numbers in Alternative Set Theory. arXiv e-prints, arXiv:2005.04388, Ma…
Basic Topological Concepts and a Construction of Real Numbers in Alternative Set Theory
Kiri Sakahara, Takashi Sato
Alternative set theory (AST) may be suitable for the ones who try to capture objects or phenomenons with some kind of indefiniteness of a border. While AST provides various notions…
An Alternative Set Model of Cognitive Jump
Kiri Sakahara, Takashi Sato
When we enumerate numbers up to some specific value, or, even if we do not specify the number, we know at the same time that there are much greater numbers which should be reachabl…
-local stable splitting of quasitoric manifolds
Sho Hasui, Daisuke Kishimoto, Takashi Sato
We show a homotopy decomposition of -localized suspension of a quasitoric manifold by constructing power maps. As an application we investigate the -localized…
The -equivariant Integral Cohomology Ring of
Takashi Sato
We prove the equivariant Leray-Hirsch theorem combinatorially for sufficiently good torus equivariant fiber bundles consisting of homogeneous spaces of Lie groups. We apply this th…
The -equivariant integral cohomology ring of
Takashi Sato
We determine the -equivariant integral cohomology of combinatorially by the GKM theory, where T is a maximal torus of the exceptional Lie group and acts on …