# Algebraic topology by Morgan J.W., Lamberson P.J.

By Morgan J.W., Lamberson P.J.

Best topology books

Modern Geometry: Introduction to Homology Theory Pt. 3: Methods and Applications

Over the last fifteen years, the geometrical and topological tools of the speculation of manifolds have assumed a significant function within the such a lot complex parts of natural and utilized arithmetic in addition to theoretical physics. the 3 volumes of "Modern Geometry - tools and purposes" comprise a concrete exposition of those equipment including their major functions in arithmetic and physics.

Borel Liftings of Borel Sets: Some Decidable and Undecidable Statements

One of many goals of this paintings is to enquire a few typical houses of Borel units that are undecidable in $ZFC$. The authors' place to begin is the subsequent common, even though non-trivial consequence: ponder $X \subset 2omega\times2omega$, set $Y=\pi(X)$, the place $\pi$ denotes the canonical projection of $2omega\times2omega$ onto the 1st issue, and feel that $(\star)$ : ""Any compact subset of $Y$ is the projection of a few compact subset of $X$"".