Hello. I am studying Analysis on Manifolds by Munkres. My aim is to be able to study by myself Spivak's Differential Geometry books. The problems is that the proof in Analysis on Manifolds seem many times difficult to understand and I am having SERIOUS trouble picturing myself coming up with some of them (most of them). Especially those that use so many topology stuff (like cubes that cover othter rectanlge which are of measure 0 and they are included in a sequence of compact sets such that Cn is in Cn+1 for each n ....... CHAOS). Do you think that studying Munkres' Topology book instead would be more benefiacial? Which would help more in physics or in being more proficient in mathematics (for the puproses of physics)? Is topology in general helpful in physics and where? Thank you in advance for your answers!