General Introduction

Lynn Arthur Steen and J. Arthur Seebach
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Lynn Arthur Steen: Saint Olaf College
J. Arthur Seebach: Saint Olaf College

Chapter Section 1 in Counterexamples in Topology, 1978, pp 3-10 from Springer

Abstract: Abstract A topological space is a pair (X,τ) consisting of a set X and a collection τ of subsets of X, called open sets, satisfying the following axioms: O1: The union of open sets is an open set. O2: The finite intersection of open sets is an open set. O3: X and the empty set ∅ are open sets. The collection τ is called a topology for X. The topological space (X,τ) is sometimes referred to as the space X when it is clear which topology X carries.

Keywords: Topological Space; Limit Point; Accumulation Point; Finite Intersection; Countable Collection (search for similar items in EconPapers)
Date: 1978
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DOI: 10.1007/978-1-4612-6290-9_1

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