## Stable Algebraic Topology, 1945-1966 (1966)

by
J.P. May

Venue: | Mind |

Citations: | 3 - 0 self |

### BibTeX

@ARTICLE{May66stablealgebraic,

author = {J.P. May},

title = {Stable Algebraic Topology, 1945-1966},

journal = {Mind},

year = {1966},

volume = {75},

pages = {527--541}

}

### OpenURL

### Abstract

this paper appeared four years before Milnor's discovery of exotic dierential structures on spheres [Mil56a]. For an embedding f , he went further and showed that the homotopy type of a tubular neighborhood of f is independent of the dierentiable structure on the ambient manifold. He then introduced the notion of ber homotopy equivalence and proved that the ber homotopy type of the tangent bundle of a manifold is independent of its dierentiable structure. He observed that the 10 J. P. MAY