Stable Self Maps of the Quaternionic (Quasi-) Projective Space | Zendy

Kaoru Morisugi | Zendy

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Stable Self Maps of the Quaternionic (Quasi-) Projective Space

Author(s) -

Kaoru Morisugi

Publication year - 1984

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195180875

Subject(s) - mathematics , homotopy group , suspension (topology) , dimension (graph theory) , quaternionic projective space , space (punctuation) , spectrum (functional analysis) , homotopy , pure mathematics , projective space , group (periodic table) , projective line , projective test , complex projective space , real projective space , class (philosophy) , combinatorics , physics , philosophy , linguistics , quantum mechanics , artificial intelligence , computer science

Let HP" (resp. CP) be the quaternionic (resp. complex) ^-dimensional projective space. QP denotes the quaternionic quasi-projective space of dimension 4n—l. For a pointed space X we denote the «-th reduced suspension by 2X and denote the associated suspension spectrum by S°°X. We denote the group of stable homotopy classes of stable maps from 2°°X to 2~Y by [X, Y]. n*(X) denotes the stable homotopy group of X. Throughout this paper we shall denote the homotopy class of a map / by the same letter /for abbreviation.

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