Abstract
In this note, we compute \(\widetilde{KO}^i\)-groups of the stunted projective space \(\mathbb F \mathbb P ^m /\mathbb F\mathbb P^n\), where \(\mathbb F = \mathbb C\) or \(\mathbb H\). We also prove some non-sectioning results of certain maps of stunted complex projective spaces into certain quotients.
The research of the second author is partially supported by DST-INSPIRE Faculty research grant (IFA-13-MA26).
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Acknowledgements
We are indebted to Professor P. Sankaran for helpful discussions. We thank the anonymous referee for suggesting improvements in the paper and, more importantly, for drawing our attention to Propositions 3.1 and 5.6 of [8].
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Naolekar, A.C., Thakur, A.S. (2019). KO-Groups of Stunted Complex and Quaternionic Projective Spaces. In: Singh, M., Song, Y., Wu, J. (eds) Algebraic Topology and Related Topics. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-5742-8_12
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DOI: https://doi.org/10.1007/978-981-13-5742-8_12
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