Topic: Homotopy of Maps and Paths

Worked Problems in Homotopy Equivalence and Retraction

Testing Whether a Retraction Is a Deformation Retraction

Straight-Line Homotopies in Convex Spaces

Retractions and Their Fixed-Point Property

Reparametrizing Paths by Endpoint-Preserving Maps

Radial Deformation Retraction of Punctured Euclidean Space

Path Homotopy With Endpoints Fixed

Homotopy Equivalence Is an Equivalence Relation

Homotopy Equivalences and Homotopy Inverses

Homotopies of Maps and the Product Topology