**Point-Set Topology: Course**

by Peter Saveliev

**Publisher**: Intelligent Perception 2014

**Description**:

This is an introductory, one semester course on point-set/general topology and its applications. Elementary topology. Topics include topologies, separation axioms, connectedness, compactness, continuity, and metric spaces. It is intended for advanced undergraduate and beginning graduate students.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**General Topology**

by

**Jesper M. Moller**

These notes are an introduction to general topology. They should be sufficient for further studies in geometry or algebraic topology. The text covers: Sets and maps; Topological spaces and continuous maps; Regular and normal spaces; etc.

(

**7441**views)

**Homeomorphisms in Analysis**

by

**Casper Goffman, at al.**-

**American Mathematical Society**

This book features the interplay of two main branches of mathematics: topology and real analysis. The text covers Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, various theorems on Fourier series, etc.

(

**10578**views)

**Topology**

by

**David Wilkins**-

**Trinity College, Dublin**

The lecture notes for course 212 (Topology), taught at Trinity College, Dublin. Topics covered: Limits and Continuity, Open and Closed Sets, Metric Spaces, Topological Spaces, Normed Vector Spaces and Functional Analysis, Topology in the Plane.

(

**7000**views)

**Notes on Introductory Point-Set Topology**

by

**Allen Hatcher**-

**Cornell University**

These are lecture notes from the first part of an undergraduate course in 2005, covering just the most basic things. From the table of contents: Basic Point-Set Topology; Connectedness; Compactness; Quotient Spaces; Exercises.

(

**4059**views)