QUOTIENTS OF PROXIMITY SPACES 589
... the topology generated by ó*. 2. In this section we consider the question of when a proximity quotient map is a (topological) quotient map. 2.1 Example. Let X be the nonnegative real line with the usual proximity, identify n and 1/« for each positive integer n, and let F be the resulting set. Consid ...
... the topology generated by ó*. 2. In this section we consider the question of when a proximity quotient map is a (topological) quotient map. 2.1 Example. Let X be the nonnegative real line with the usual proximity, identify n and 1/« for each positive integer n, and let F be the resulting set. Consid ...
An introduction to differential topology
... What does “looks like Rn ” mean? Homeomorphic to Rn ? Mabye homeomorphic to an open subset of Rn ? Or should we only allow open balls in Rn ? In fact, these are all equivalent, and each version is useful in different situations. Let’s use the second one for now. Improvement. A space M is a topologic ...
... What does “looks like Rn ” mean? Homeomorphic to Rn ? Mabye homeomorphic to an open subset of Rn ? Or should we only allow open balls in Rn ? In fact, these are all equivalent, and each version is useful in different situations. Let’s use the second one for now. Improvement. A space M is a topologic ...
important result of the fuzzy tychonoff theorem and
... Much of topology can be done in a setting where open sets have “fuzzy boundaries.” To render this precise; the ...
... Much of topology can be done in a setting where open sets have “fuzzy boundaries.” To render this precise; the ...
Geometric homology versus group homology - Math-UMN
... where the left-hand side is singular cohomology of a topological space Γ\X obtained as a quotient of a homeomorphic copy of an open ball X by the action of a discrete group Γ, and the right-hand side is group cohomology of Γ. A striking aspect of this is that the essence of the argument concerns hom ...
... where the left-hand side is singular cohomology of a topological space Γ\X obtained as a quotient of a homeomorphic copy of an open ball X by the action of a discrete group Γ, and the right-hand side is group cohomology of Γ. A striking aspect of this is that the essence of the argument concerns hom ...
Full Text
... This work is developed around the concept of µ-semi-compactness with respect a hereditary class which was introduced by Jamal M. Mustafa in [8]. In this research, we use the notions of generalized topology and hereditary class introduced by Császár in [1] and [2], respectively, in order to define a ...
... This work is developed around the concept of µ-semi-compactness with respect a hereditary class which was introduced by Jamal M. Mustafa in [8]. In this research, we use the notions of generalized topology and hereditary class introduced by Császár in [1] and [2], respectively, in order to define a ...
