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A construction of noncontractible simply connected cell-like two dimensional Peano continua

1. 연구 배경 및 동기 셀‑라이크 다면체와 수축성 : 전통적으로 셀‑라이크 다면체는 모두 수축 가능하다는 사실이 알려져 있다. Griffiths는 2차원 비단순연결 셀‑라이크 피아노 연속체를 구성함으로써 이와 반대되는 예시를 제시했으며, 그 일반화가 3차원 비수축성·단순연결 예시로 이어졌다. 함자적 접근 : 기존 예시들은 개별적인 구조에 의존했지만, 본 논문은 함자 (SC) 를 통해 범용적인 변환 메커니즘을 제공한다. 이는 “입력 → 출력”이 함수적 이며, 복합적인 위상공간을 체계적으로 다룰 수 있게 한다는 점에서 큰 의미가

A construction of noncontractible simply connected cell-like two dimensional Peano continua

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ell-adic class field theory for regular local rings

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