Regular Spaces

Some articles on space, regular, regular space:

Regular Space - Examples and Nonexamples
... A zero-dimensional space with respect to the small inductive dimension has a base consisting of clopen sets ... Every such space is regular ... As described above, any completely regular space is regular, and any T0 space that is not Hausdorff (and hence not preregular) cannot be regular ...

Famous quotes containing the words spaces and/or regular:

    When I consider the short duration of my life, swallowed up in the eternity before and after, the little space which I fill and even can see, engulfed in the infinite immensity of spaces of which I am ignorant and which know me not, I am frightened and am astonished at being here rather than there. For there is no reason why here rather than there, why now rather than then.
    Blaise Pascal (1623–1662)

    This is the frost coming out of the ground; this is Spring. It precedes the green and flowery spring, as mythology precedes regular poetry. I know of nothing more purgative of winter fumes and indigestions. It convinces me that Earth is still in her swaddling-clothes, and stretches forth baby fingers on every side.
    Henry David Thoreau (1817–1862)