Space (mathematics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Space (mathematics)" in English language version.

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Bourbaki, Nicolas (1994). Elements of the history of mathematics. Masson (original), Springer (translation). doi:10.1007/978-3-642-61693-8. ISBN 978-3-540-64767-6.
Gallier, Jean (2011). "Basics of Euclidean Geometry". Geometric Methods and Applications. Texts in Applied Mathematics. Vol. 38. Springer. pp. 177–212. doi:10.1007/978-1-4419-9961-0_6. ISBN 978-1-4419-9960-3. See also OpenCourseWare.
Pudlák, Pavel (2013). Logical Foundations of Mathematics and Computational Complexity: A Gentle Introduction. Springer Monographs in Mathematics. Springer. doi:10.1007/978-3-319-00119-7. ISBN 978-3-319-00118-0.
Eisenbud & Harris 2000. Eisenbud, David; Harris, Joe (2000), The Geometry of Schemes, Springer-Verlag, doi:10.1007/b97680, ISBN 978-0-387-98638-8.

The space $2^{\mathbb {R} }$ (equipped with its tensor product σ-algebra) has a measurable structure which is not generated by a topology. A proof can be found in this answer on MathOverflow.

Reed, Robert C. (2000). "Leo Corry, Modern Algebra and the Rise of Mathematical Structures". Review. Modern Logic. 8 (1–2): 182–190.

Gallier, Jean (2011). "Basics of Euclidean Geometry". Geometric Methods and Applications. Texts in Applied Mathematics. Vol. 38. Springer. pp. 177–212. doi:10.1007/978-1-4419-9961-0_6. ISBN 978-1-4419-9960-3. See also OpenCourseWare.