A Study on Homotopy Invariance of Circle and Stereographic Projection
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Authors:Monsuru A Morawo1*
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Abstract
This paper explores fundamental applications of topological spaces and stereographic projection derived from the properties of the circle, employing key concepts such as continuous functions and homotopy theory. By examining the behavior of mappings and deformations within topological spaces, the study demonstrates how the circle serves as a foundational structure for understanding more complex topological constructs. Special attention is given to the use of stereographic projection in visualizing the relationship between the circle and the unit sphere, illustrating how these mathematical tools contribute to a deeper understanding of continuity and homotopy in topological analysis. The discussion offers a concise yet insightful introduction to the interplay between geometric intuition and topological formalism.
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References
Youness, E.K and Jamal, M. (2021). On Banach Contraction Principle and Sehgal fixed point Theorem in Extended b Metric Space. Adv. Fixed point Theory. 1 -12.
Ahmadu, K., & Monsuru, A. M. (2021). On some topological properties on a certain hyperspace topology. IOSR Journal of Mathematics. 17(1), 34-38.
Adam and Franzosa. (2000). “Introduction to topology” Pure and Applied, Upper Saddle River: Pearson Prentice Hall.
Adhikari, M.R. (2016). Basic algebraic topology and its Applications. Springer.
Ahmadu, K., and Monsuru, A.M. (2020). Some topological properties and Stone C ̂ech compactification of Linear Strongly B – convergent topological space of Maddox. Global Scientific Journal. 8(9). 1657 – 1674.
Monsuru, A.M., Ahmadu, K., and Balla, M. Y. (2020). On the comparative study of compactness and some of its relative notions in Metric and Topological spaces. International Journal of scientific and Research Publication. 10(10). 659 – 665.
Micheal, M. (2016). Topology for the working Mathematician