Introduction to the Homotopy Theory

Adam Grabowski

University of Bialystok

Summary.

The paper introduces some preliminary notions concerning the homotopy theory according to [15]: paths and arcwise connected to topological spaces. The basic operations on paths (addition and reversing) are defined. In the last section the predicate: $P, Q$ {\em are homotopic} is defined. We also showed some properties of the product of two topological spaces needed to prove reflexivity and symmetry of the above predicate.

MML Identifier: BORSUK_2

Contents (PDF format)

1. Preliminaries
2. Paths and arcwise connected spaces
3. Basic operations on paths
4. The product of two topological spaces

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