Embeddings from the point of view of immersion theory : Part I
... when the codimension is at least 3. Here the goal is to set up the calculus framework. This is very similar to Goodwillie’s calculus of homotopy functors [6], [7], [8], but it is not a special case. Much of it has been known to Goodwillie for a long time. For some history and a slow introduction, se ...
... when the codimension is at least 3. Here the goal is to set up the calculus framework. This is very similar to Goodwillie’s calculus of homotopy functors [6], [7], [8], but it is not a special case. Much of it has been known to Goodwillie for a long time. For some history and a slow introduction, se ...
1 Introduction
... sets, Roy and Sen [7] introduced and studied the notion of maximal µ-open sets (Definition 3) (and also minimal µ-closed sets) in a GTS. Since certain classes of sets like semi-open [3], preopen [4] sets on a topological space (X, T ) form generalized topologies on X, the notion of a GTS may be unif ...
... sets, Roy and Sen [7] introduced and studied the notion of maximal µ-open sets (Definition 3) (and also minimal µ-closed sets) in a GTS. Since certain classes of sets like semi-open [3], preopen [4] sets on a topological space (X, T ) form generalized topologies on X, the notion of a GTS may be unif ...
Domain Theory - School of Computer Science, University of
... with (1), this showed that domains form a suitable universe for the semantics of programming languages. In this way, Scott provided a mathematical foundation for the work of Christopher Strachey on denotational semantics [MS76, Sto77]. This combination of descriptive richness and a powerful and eleg ...
... with (1), this showed that domains form a suitable universe for the semantics of programming languages. In this way, Scott provided a mathematical foundation for the work of Christopher Strachey on denotational semantics [MS76, Sto77]. This combination of descriptive richness and a powerful and eleg ...
3-manifold
In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. Intuitively, a 3-manifold can be thought of as a possible shape of the universe. Just like a sphere looks like a plane to a small enough observer, all 3-manifolds look like our universe does to a small enough observer. This is made more precise in the definition below.