## Indiana University Mathematics Journal, Volume 24 |

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### Contents

JOHN GRIER MILLER Homotopu groups of diffeomorphism groups | 719 |

CHARLES B DUNHAM Chebyshev approximation by families with | 727 |

DONALD R sHORT An Euler laracteristic formula for maps between | 733 |

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admissible polynomials Amer analytic assume Banach space BK-space boundary value bounded linear operators catenary cohomology compact compact operators completes the proof const constant contains continuous converges Corollary Date communicated defined denote dimensional domain equivalent estimate exists follows function given graded Lie algebra Hausdorff Hence Hilbert space homomorphism homotopy implies Index Indiana University Indiana University Mathematics induced inequality integral invariant subspaces invertible Lebesgue measure Lemma linear operators manifold Math norm obtain probability measure problem proof of Theorem Proposition prove quasinilpotent operator regular factorization result rists satisfies saturated chain semigroup sequence solution spatial homomorphism spectral subset Suppose Theorem Theorem 2.1 theory topology uniformly unique unitary University Mathematics University Mathematics Journal vector zero