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order (point-finiteness)
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*Definition [#s960a3bb]
Let X be a topological space, let n be a positive integer and let C be a subset family of X.
C is said to be [[point-finite]] of order n iff each point in X is contained at most n members in C.
Similarly, C is said to be [[locally finite]] of order n iff each point in X has a neighborhood which intersects at most n members in C.
*Reference [#tfa6cf2d]
P. Fletcher, R.A. Mccoy AND R. Slover, ''On Boundedly Metacompact And Boundedly Paracompact Spaces'', Proc. Amer. Math. Soc, Vol. 25, No. 2 (1970), pp.335-342.
終了行:
*Definition [#s960a3bb]
Let X be a topological space, let n be a positive integer and let C be a subset family of X.
C is said to be [[point-finite]] of order n iff each point in X is contained at most n members in C.
Similarly, C is said to be [[locally finite]] of order n iff each point in X has a neighborhood which intersects at most n members in C.
*Reference [#tfa6cf2d]
P. Fletcher, R.A. Mccoy AND R. Slover, ''On Boundedly Metacompact And Boundedly Paracompact Spaces'', Proc. Amer. Math. Soc, Vol. 25, No. 2 (1970), pp.335-342.
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