ON θ-PRECONTINUOUS FUNCTIONS
... if the preimage f −1 (V ) of each open set V of Y is preopen in X. Precontinuity was called near continuity by Pták [26] and also called almost continuity by Frolík [9] and Husain [10]. In 1985, Janković [12] introduced almost weak continuity as a weak form of precontinuity. Popa and Noiri [23] int ...
... if the preimage f −1 (V ) of each open set V of Y is preopen in X. Precontinuity was called near continuity by Pták [26] and also called almost continuity by Frolík [9] and Husain [10]. In 1985, Janković [12] introduced almost weak continuity as a weak form of precontinuity. Popa and Noiri [23] int ...
General Topology lecture notes
... Theorem 2.5 (Principle of Induction:). Let (X, <) be a well-ordered set. Suppose that X0 ⊆ X is a subset satifying S
... Theorem 2.5 (Principle of Induction:). Let (X, <) be a well-ordered set. Suppose that X0 ⊆ X is a subset satifying S
of almost compact spaces - American Mathematical Society
... The product map e: ( X, T) -» (Z), «)A is continuous, one-to-one and separates points and closed sets, so that X and e[A"] are homeomorphic. Observe that the II«-closure of e[X] in the product consists of e[A"] and the point a, all of whose coordinates are 1: for suppose ß is in the II «-closure of ...
... The product map e: ( X, T) -» (Z), «)A is continuous, one-to-one and separates points and closed sets, so that X and e[A"] are homeomorphic. Observe that the II«-closure of e[X] in the product consists of e[A"] and the point a, all of whose coordinates are 1: for suppose ß is in the II «-closure of ...
![arXiv:0903.2024v3 [math.AG] 9 Jul 2009](http://s1.studyres.com/store/data/016334314_1-5f7029642e57766ba62e6f9f2c64e435-300x300.png)
preprint
... equivalent for abstract reasons (since they represent the same Ω-spectrum and have the homotopy type of a CW complex; in fact, our results imply that this is the case for all the spaces in our Main Theorem). Moreover, our maps relating the spaces in (4) and (7) respectively (3) and (8) seem to be ne ...
... equivalent for abstract reasons (since they represent the same Ω-spectrum and have the homotopy type of a CW complex; in fact, our results imply that this is the case for all the spaces in our Main Theorem). Moreover, our maps relating the spaces in (4) and (7) respectively (3) and (8) seem to be ne ...
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.