![THE EXACT SEQUENCE OF A SHAPE FIBRATION Q. Haxhibeqiri](http://s1.studyres.com/store/data/022877037_1-95e261ec4c7ab065e58dfe92d696f530-300x300.png)
THE EXACT SEQUENCE OF A SHAPE FIBRATION Q. Haxhibeqiri
... given in [5] we show when a restriction of shape fibration is again a shape fibration (Theorem 4.1) and when a shape fibration induces an isomorphism of homotopy pro-groups (Theorem 5.7) obtaining also the exaet sequence of shape fibration (Theorem 5.9). ...
... given in [5] we show when a restriction of shape fibration is again a shape fibration (Theorem 4.1) and when a shape fibration induces an isomorphism of homotopy pro-groups (Theorem 5.7) obtaining also the exaet sequence of shape fibration (Theorem 5.9). ...
- Khayyam Journal of Mathematics
... When K is the collection of all finite (resp. one-point, compact) subspaces of X we write SS∗f in (O, B) (resp., SS∗1 (O, B), SS∗K (O, B)) instead of SS∗K (O, B). The following terminology we borrow from [30]. For a space X we have: SM: the star-Menger property = S∗f in (O, O); SR: the star-Rothberg ...
... When K is the collection of all finite (resp. one-point, compact) subspaces of X we write SS∗f in (O, B) (resp., SS∗1 (O, B), SS∗K (O, B)) instead of SS∗K (O, B). The following terminology we borrow from [30]. For a space X we have: SM: the star-Menger property = S∗f in (O, O); SR: the star-Rothberg ...
INTRODUCTION TO MANIFOLDS - PART 1/3 Contents 1. What is Algebraic Topology?
... The notion of homotopy captures the idea of continuous deformation. We will attach a group called the fundamental group to a topological space X by defining a group operation on the homotopy classes of closed paths at a point. This group contains data about 1-dimensional holes. Definition: Let X, Y ∈ ...
... The notion of homotopy captures the idea of continuous deformation. We will attach a group called the fundamental group to a topological space X by defining a group operation on the homotopy classes of closed paths at a point. This group contains data about 1-dimensional holes. Definition: Let X, Y ∈ ...
IOSR Journal of Mathematics (IOSRJM) www.iosrjournals.org
... space (X, τ) is a non-empty collection of subsets of X satisfying the following properties: (1) A ∈ I and B A imply B ∈ I (heredity), (2) A ∈ I and B ∈ I imply A ∪ B ∈ I (finite additivity). A topological space (X, τ) with an ideal I on X is called an ideal topological space and is denoted by (X, ...
... space (X, τ) is a non-empty collection of subsets of X satisfying the following properties: (1) A ∈ I and B A imply B ∈ I (heredity), (2) A ∈ I and B ∈ I imply A ∪ B ∈ I (finite additivity). A topological space (X, τ) with an ideal I on X is called an ideal topological space and is denoted by (X, ...