Ordered Quotients and the Semilattice of Ordered
... constructive, giving a method for defining an ordered decomposition space, and, consequently, an ordered quotient space. Also presented is a definition for an ordered quotient map which fits neatly into the rest of the theory. We begin by reviewing pertinent notions from the theory of ordered topologi ...
... constructive, giving a method for defining an ordered decomposition space, and, consequently, an ordered quotient space. Also presented is a definition for an ordered quotient map which fits neatly into the rest of the theory. We begin by reviewing pertinent notions from the theory of ordered topologi ...
Foldings and Deformation Retractions of Hypercylinder
... ( a , t ) a , a A, t [ 0 ,1] [10,12,13,15,18] . A map : M N , where M and N are c –Riemannian manifolds of dimension m , n respectively is said to be an isometric folding of M into N , iff for any piecewise geodesic path : J M , the induced path : J N is a piecewise ...
... ( a , t ) a , a A, t [ 0 ,1] [10,12,13,15,18] . A map : M N , where M and N are c –Riemannian manifolds of dimension m , n respectively is said to be an isometric folding of M into N , iff for any piecewise geodesic path : J M , the induced path : J N is a piecewise ...
MAP 341 Topology
... So we can formulate continuity purely in terms of open sets, banishing those s and δs completely. That is the basis of topology, but we would like to apply it to more than just functions on the real line. In order to define continuity for functions between any sets, we have seen that we only need t ...
... So we can formulate continuity purely in terms of open sets, banishing those s and δs completely. That is the basis of topology, but we would like to apply it to more than just functions on the real line. In order to define continuity for functions between any sets, we have seen that we only need t ...
Categorically proper homomorphisms of topological groups
... on the categorical Tychonoff Theorem [7] that had already been used to affirm product stability of c-compactness for topological groups: see Example 9.5 of [5]. In fact, we not only extend but slightly generalize the known object-level results since, unlike the authors of [12, 19] and of most papers ...
... on the categorical Tychonoff Theorem [7] that had already been used to affirm product stability of c-compactness for topological groups: see Example 9.5 of [5]. In fact, we not only extend but slightly generalize the known object-level results since, unlike the authors of [12, 19] and of most papers ...