In-Hyup Lee

We define canonical subshift of finite type covers for Williams’ one-dimensional generalized solenoids, and use resulting invariants to distinguish some closely related solenoids.

We show that Matui’s HK conjecture holds for groupoids of unstable equivalence relations and their corresponding $C^{\ast }$ -algebras on one-dimensional solenoids.

We show that the Bruschlinsky group with the winding order is a homomorphism invariant for a class of one-dimensional inverse limit spaces. In particular we show that if a presentation of an inverse limit space satisfies the Simplicity Condition, then the

We compute the K-groups of C^*-algebras arising from one-dimensional generalized solenoids. The results show that Ruelle algebras from one-dimensional generalized solenoids are one-dimensional generalizations of Cuntz-Krieger algebras.

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f colon upper X right-arrow upper X"> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo> : </mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy="false"> → </mml:mo> <mml:mi>X</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">f\colon X\to X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be an edge-wrapping rule which presents a one-dimensional generalized

We compute the K-groups of C∗-algebras from one-dimensional generalized solenoids. The results show that Ruelle algebras from one-dimensional generalized solenoids are one-dimensional generalizations of CuntzKrieger algebras.

Abstract. Let f: X → X be an edge-wrapping rule which presents a one-dimensional generalized solenoid X, and let M be the adjacency matrix of f. When X is a wedge of circles, f leaves the unique branch point fixed, and f is orientation preserving, we show that the Bratteli-Vershik map naturally associated to f is topologically conjugate to the return map of the flow on X to a certain cross section. 1.

개정 7차 교육과정부터 고등학교 인문사회 과정 학생들도 ‘미적분과 통계 기본’교과서를 통해 미분에 대해 학습하게 된다. 따라서 미적분학을 가르치는 교사의 수학적 지식은 어떠한지 또한그러한 교사의 수학적 지식은 옳은 것인지에 대해 측정할 수 있는 객관적인 분석틀이 필요하다. 본연구는 고등학교 미분 단원에 대해 실제 교육 현장에서 활동하고 있는 교사들이 어떤 수학적 지식을 가지고 있는지에 대해 알아보는 데 목적이 있다. 본 연구에서는 선행 연구를 분석하여 미분 단원의 오개념과 오류에 관한 내용 요소별 분석틀을 제사하였고 미분 단원의 학습목표에 따라 설문문항을 구성하였다. 개발한 설문 문항에 따라 교사의 수학적 지식(MKT) 및 선행연구에서 제시한MKT의 하위 영역 분류에 따라 영역별로 구분하여 분석하였다. 본 연구의 결과는 다음과 같다. 미분 단원에 대한 수학 교사들의 MKT 총점은 23점 만점에 평균점수가 18.61점, 표준편차는 3.192점인만큼 우수하며 전반적으로 학교 수학에 대해

We show that the limits for dynamical systems of self-similar groups are eventually conjugate if, and only if, there is an isomorphism between their Deaconu groupoid preserving cocycles. For limit solenoids of self-similar groups, we show that the conjugacy of limit solenoids is equivalent to existence of isomorphism between the Deaconu groupoids of limit solenoid preserving cocycles.

For self-similar graph actions, we show that isomorphic inverse semigroups associated to a self-similar graph action are a complete invariant for the continuous orbit equivalence of inverse semigroup actions on infinite path spaces.

We show that the Bruschlinsky group with the winding order is a homeomorphism invariant for a class of one-dimensional inverse limit spaces. In particular we show that if a presentation of an inverse limit space satisfies the Simplicity Condition, then the Bruschlinsky group with the winding order of the inverse limit space is a dimension group and is a quotient of the dimension group with the standard order of the adjacency matrices associated with the presentation.