Algebraic General Topology
by Victor Porton
Publisher: Mathematics21.org 2015
Number of pages: 349
In this work I introduce and study in details the concepts of funcoids which generalize proximity spaces and reloids which generalize uniform spaces, and generalizations thereof. The concept of funcoid is generalized concept of proximity, the concept of reloid is cleared from superfluous details (generalized) concept of uniformity.
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by Alex Kuronya
Contents: Basic concepts; Constructing topologies; Connectedness; Separation axioms and the Hausdorff property; Compactness and its relatives; Quotient spaces; Homotopy; The fundamental group and some applications; Covering spaces; etc.
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.
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.
by Peter Saveliev - Intelligent Perception
This is an introductory, one semester course on point-set topology and applications. Topics: topologies, separation axioms, connectedness, compactness, continuity, metric spaces. Intended for advanced undergraduate and beginning graduate students.