Simple homotopy theory

In today's world, Simple homotopy theory has become a highly relevant topic for millions of people around the world. Interest in Simple homotopy theory has increased significantly in recent years, thanks to its direct impact on people's daily lives. Whether on a social, political, economic or personal level, Simple homotopy theory has captured the attention of experts, leaders and ordinary citizens alike. It is evident that Simple homotopy theory has generated an intense and passionate debate, with divided opinions and firm positions. In this article, we will explore the topic of Simple homotopy theory in depth, analyzing different perspectives, research and testimonies that will allow us to better understand its importance and impact on today's society.

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In mathematics, simple homotopy theory is a homotopy theory (a branch of algebraic topology) that concerns with the simple-homotopy type of a space. It was originated by Whitehead in his 1950 paper "Simple homotopy types".^[1]

See also

• Whitehead torsion

References

1. ^ Whitehead 1950

• Cohen, M. M. (1973). A Course in Simple-Homotopy Theory. Graduate Texts in Mathematics. Vol. 10. doi:10.1007/978-1-4684-9372-6. ISBN 978-0-387-90055-1.
• Hatcher, A. E. (1975). "Higher Simple Homotopy Theory". Annals of Mathematics. 102 (1): 101–137. doi:10.2307/1970977. JSTOR 1970977.
• Whitehead, J. H. C. (1950). "Simple Homotopy Types". American Journal of Mathematics. 72 (1): 1–57. doi:10.2307/2372133. JSTOR 2372133.

Further reading

• Simple homotopy theory at the nLab
• A lecture by J. Lurie.

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