On the Fibrewise Confibrations and Fibrewise Fibrations in a Quasitopos

Quasitopos에서의 섬유 코화이버 함수와 섬유 화이버 함수에 대한 연구

In this paper, we obtain that if $\psi : E \to F$ is a fibrewise fibration then postcomposition $\psi :C_B(Y, E) \to C_B(Y, F)$ is fibrewise fibration and if (X, A) is a closed fibrewise cofibration the the precomposition $\upsilon :C_B(X, E) \to C_B(A, E)$ is also a fibrewise fibration.

본 논문에서는 $\psi : E \to F$가 섬유 화이버 함수일 때 후합성 $\psi :C_B(Y, E) \to C_B(Y, F)$도 섬유 화이버 함수이고, (X, A)가 닫힌 섬유 화이버 함수일 때 전합성 $\upsilon : C_B(X, E) \to C_B(A, E)$ 도 섬유 화이버 함수임을 보인다.