Question: How this theorem will be enlarged? If (Xi, fij, D) is an inverse system such that each X is a contin- uum, each fij is

How this theorem will be enlarged?
If (Xi, fij, D) is an inverse system such that each X is a contin- uum, each fij is continuous, and D is a countable directed set, then lim(Xi, fij, D) is a nonempty continuum.
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