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

1972
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Proceedings of the American Mathematical Society
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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