All functions in a topological space that contain the same points belong to an equivalence class of this type, and the fundamental group is the simplest group of this type.
A mapping from a total space of a fiber bundle to a paracompact base satisfies the "lifting" property of this type. A homomorphism exists between homology groups and groups with this property, according to Hurewicz's theorem. When inclusion maps of two manifolds into a simply-connected cobordism have this property, the maps are said to have an (*) equivalence relation of this type. All functions in a topological space that contain the same points belong to an equivalence class of this type, and the fundamental group is the simplest group of this type. For 10 points, identify this term which describes two objects which can be continuously transformed into each other.
A mapping from a total space of a fiber bundle to a paracompact base satisfies the "lifting" property of this type.
homotopy