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Last-modified: 2015-11-17 (火) 18:34:17

Definition Edit

Let τ denote an infinite cardinal number.
A (pseudo) uniform space (X,U) is said to be τ-P-paracompact if, for any open cover λ of (X,U), the cover imgtex.fcgi?%5bres=100%5d%7b$%5clambda_%5ctau:=%5c%7b%5ccup%5cbeta:%5cbeta%5csubset%5clambda%2c%7c%5cbeta%7c%3c%5ctau%5c%7d$%7d%25.png is a weakly uniform cover.

Reference Edit

D. K. Musaev, Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces, J. Math. Sci., Vol.144, No.3, 2007