Not deviating or varying from uniformity; not interrupted; not joined or articulated.
Expressing an ongoing action or state.
Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
Without stopping; without a break, cessation, or interruption.
Without intervening space; continued.
Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
That does not deviate, veer or turn aside; unswerving.
That does not change; steady.