What makes an infinite loop space an interesting study object of study for homotopy theorists? The reason I askingask this question is that I found a lot of results treating the question ifof whether a given space is infinityan infinite loop space. So it seems that the property of a space beeing infinitelybeing homotopy equivalent to an infinite loop space opens totally new possibilities and techniques to study athe space. I would glad if anybody could take some time to give an overview about the most knownwell-known directions one can study a space recognized as infinite loop space.
Why study infinite loop spaces?
Why study infinite loop spaces
What makes an infinite loop space interesting study object for homotopy theorists? The reason I asking this question is that I found a lot of results treating the question if a given space is infinity loop space. So it seems that the property of a space beeing infinitely loop space opens totally new possibilities and techniques to study a space. I would glad if anybody could take some time to give an overview about most known directions one can study a space recognized as infinite loop space.
Why study infinite loop spaces?
What makes an infinite loop space an interesting object of study for homotopy theorists? The reason I ask this question is that I found a lot of results treating the question of whether a given space is an infinite loop space. So it seems that the property of a space being homotopy equivalent to an infinite loop space opens totally new possibilities and techniques to study the space. I would glad if anybody could take some time to give an overview about the most well-known directions one can study a space recognized as infinite loop space.
Why study infinite loop spaces
What makes an infinite loop space interesting study object for homotopy theorists? The reason I asking this question is that I found a lot of results treating the question if a given space is infinity loop space. So it seems that the property of a space beeing infinitely loop space opens totally new possibilities and techniques to study a space. I would glad if anybody could take some time to give an overview about most known directions one can study a space recognized as infinite loop space.