Topology of Fundamental Group
In terms of the natural topology on the fundamental group, a space is semi-locally simply connected if and only if its topological fundamental group is discrete.
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Famous quotes containing the words fundamental and/or group:
“What is wanted—whether this is admitted or not—is nothing less than a fundamental remolding, indeed weakening and abolition of the individual: one never tires of enumerating and indicting all that is evil and inimical, prodigal, costly, extravagant in the form individual existence has assumed hitherto, one hopes to manage more cheaply, more safely, more equitably, more uniformly if there exist only large bodies and their members.”
—Friedrich Nietzsche (1844–1900)
“Jury—A group of twelve men who, having lied to the judge about their hearing, health, and business engagements, have failed to fool him.”
—H.L. (Henry Lewis)