**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

**Quick Tour of the Topology of R**

by

**StevenHurder, DaveMarker**-

**University of Illinois at Chicago**

These notes are a supplement for the 'standard undergraduate course' in Analysis. The aim is to present a more general perspective on the incipient ideas of topology encountered when exploring the rigorous theorem-proof approach to Calculus.

(

**4382**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.

(

**6131**views)

**Algebraic General Topology**

by

**Victor Porton**-

**Mathematics21.org**

I introduce the concepts of funcoids which generalize proximity spaces and reloids which generalize uniform spaces. Funcoid is generalized concept of proximity, the concept of reloid is cleared from superfluous details concept of uniformity.

(

**2201**views)

**Elementary Topology**

by

**O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov**-

**American Mathematical Society**

This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.

(

**10364**views)