In this paper we compare, in a precise way, the concept of Grothendieck topos to the classical notion of topological space. The comparison takes the form of a two-fold extension of the idea of space.
In this paper we will determine the exact Hausdorff dimension for a wide class of random recursive constructions.
Ordinal invariants in topology
by Kannan, V.
fromMemoirs of the American Mathematical Society
Ordinal invariants in topology
by Kannan, V.
fromMemoirs of the American Mathematical Society
In this work we show that almost all useful ordinal invariants in topology studied until now (such as derived length of scattered spaces, sequential order of sequential spaces, etc.) can be brought under the single heading of what we call the order of a map. This helps us to per…