Contens: Part one Topology at infinity 1 1 End spaces 1 2 Limits 13 3 Homology at infinity 29 4 Cellular homology 43 5 Homology of covers 56 6 Pro jective class and torsion 65 7 Forward . . . . .

Contents: Introduction; Topological Spaces; The Euclidean Topology; Limit Points; Homeomerphisms; Continuous Mappings; Metric Spaces; Compactness; Finite products.

Contents: General Topology; Elements of Algebraic Topology; Manifolds.

Contents: Limits and Continuity, Open and Closed Sets, Metric Spaces; Topological Spaces; Normed Vector Spaces and Functional Analysis; Topology in the Plane.

Conetents: * Basic definitions and examples of foliations * Existence results for foliations; Haefliger structures * Foliated cobordism, Godbillon-Vey invariants * Novikov's theore . . . . .

Topology Course Lecture Notes: Chapter 1: Fundamental Concepts Describing Topological Spaces; Closed sets and Closure; Continuity and Homeomorphism; Additional Observations. Chapter 2: Topolo . . . . .

Topological concepts may be applied to any poset via the simplicial complex of finite chains. The coset poset C(G) of a finite group G (consisting of all cosets of all proper subgroups of G, ordered b . . . . .

Contents: Early Study of Real Algebraic Plane Curves; A Real Algebraic Curve from the Complex Point of View; The Topological Point of View on Prohibitions; The Comlexification of a Curve from a Real V . . . . .

Contents: Sets, functions and countability; Metric spaces; Complete metric spaces, normed vector spaces, and Banach spaces; Topological spaces; Compact spaces; The extended real number system; Meas . . . . .