Notes from the Prague Set Theory seminar
... 5.11 Proposition. Let B be a Boolean algebra, f a strictly positive exhaustive functional on B (i.e. f (0) = 0) which is nondecreasing. Then each tree T ⊆ B is countable. 5.12 Note. In case f is a measure, this is due to/can be found in S. Koppelberg (CMUC). Proof. First, since B is ccc (by exhausit ...
... 5.11 Proposition. Let B be a Boolean algebra, f a strictly positive exhaustive functional on B (i.e. f (0) = 0) which is nondecreasing. Then each tree T ⊆ B is countable. 5.12 Note. In case f is a measure, this is due to/can be found in S. Koppelberg (CMUC). Proof. First, since B is ccc (by exhausit ...
International Journal of Pure and Applied Mathematics
... that χA is the characteristic function of A, and the crisp topological space (X, [T ]) is called original topological space of (X, T ). Definition 4. (see [13]) A fuzzy topological space (X, T ) is called a week induction of the topological space (X, T0 ) if [T ] = T0 and each element of T is lower ...
... that χA is the characteristic function of A, and the crisp topological space (X, [T ]) is called original topological space of (X, T ). Definition 4. (see [13]) A fuzzy topological space (X, T ) is called a week induction of the topological space (X, T0 ) if [T ] = T0 and each element of T is lower ...
PowerPoint 演示文稿 - Welcome to Dr Wang Xingbo's Website
... space on p and its elements are called cotangent vectors or differential 1-forms on p. If (x1,..., xn) are coordinates about p inducing the basis , the associated dual basis in Tp*M is denoted by {dxk|p}k=1,…,n. ...
... space on p and its elements are called cotangent vectors or differential 1-forms on p. If (x1,..., xn) are coordinates about p inducing the basis , the associated dual basis in Tp*M is denoted by {dxk|p}k=1,…,n. ...