Introduction to topology

  • L. Christine Kinsey
Part of the Undergraduate Texts in Mathematics book series (UTM)


The first thing we must do is firmly put down any notion you may have that we’re about to start making maps. The only thing topology and topography have in common is their derivation from the Greek τoπoσ, or space. Topology is a relatively new field of mathematics and is related to geometry. In both of these subjects one studies the shape of things. In geometry, one characterizes, for example, a can of pineapple by its height, radius, surface area, and volume. In topology, one tries to identify the more subtle property that makes it impossible to get the pineapple out of the tin, no matter what shape it is battered into, as long as one does not puncture the can.


Geometric Property Angle Measure Topological Property Algebraic Topology Geometric Topology 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • L. Christine Kinsey
    • 1
  1. 1.Department of MathematicsCanisius CollegeBuffaloUSA

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