The intersection multiplicity of compact $n$-dimensional metric spaces

Glenn P. Weller
1972 Proceedings of the American Mathematical Society  
It is shown that there is an integer ft(n) such that any compact «-dimensional metric space M has intersection multiplicity at most ¡i(n). That is, if * is an open cover of M, then there is an open cover y refining 9/ such that any element of y can intersect at most /i(n) other elements of V.
doi:10.1090/s0002-9939-1972-0307194-x fatcat:vqaqewyhiralfakpect2utqvci