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I have read different sources for quotient bundle: Milnor and Stasheff, Wikipedia

Wolfram, and I still cannot figure out how it's defined. All I know is that it involves

a space X, a subspace Y, and a restriction.

Let Tx be a bundle p:M-->X for X, and Tx|y be the restriction of Tx to y, i.e., the

bundle with top space p<sup>-1</sup> (y):I see a mention of a(n informal) exact

sequence (since there is no actual algebraic map to speak of a kernel). Tx/y is defined

as the "completion of the exact sequence"

0-Ty-Tx|y-Tx/y-0

where it would seem the first two maps are inclusions.

Any hints, ideas, please.?

Thanks.

Since this is not an exact sequence in the algebraic sense, I don't know how to

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