: Even if the problem is about abstract open sets, try to draw a "blob" on paper. Topology is the study of properties that remain when you deform those blobs.
: Spend at least an hour on a single proof before looking it up. The "struggle" is where the neural pathways for abstract thinking are formed. Introduction To Topology Mendelson Solutions
: Two of the most critical properties in higher math, dealing with whether a space is in "one piece" or if it is "efficiently contained". The Challenge of Finding Solutions : Even if the problem is about abstract
However, the transition from standard calculus to the abstraction of point-set topology is notoriously difficult. Finding reliable is often the primary goal for students trying to bridge the gap between reading a theorem and actually applying it in a proof. Why Mendelson’s Text is a Standard The "struggle" is where the neural pathways for
While there is no "official" published solution manual from the author, several high-quality community resources exist:
: Generalizing the idea of distance to "open sets," allowing for the study of properties preserved under stretching or bending.