Glasnik matematički, Vol. 39 No. 2, 2004.
Izvorni znanstveni članak
A selection theorem for simplex-valued maps
Ivan Ivanšić
Leonard R. Rubin
Sažetak
The purpose of this short note is to prove the following theorem. Let X be a hereditarily normal paracompact Hausdorff space, K be a simplicial complex, and : X K be a function. Suppose that {U | } and {f | } are collections such that for each , f is a map of U to |K|, and if x U, then f(x) (x). Assume further that {U | } is an open cover of X. Then there exists a map f : X |K| such that for each x X, f(x) (x).
Ključne riječi
Contiguous functions; continuous function; hereditarily paracompact; polyhedron; selection; simplex; simplicial complex; stratifiable space
Hrčak ID:
1255
URI
Datum izdavanja:
29.11.2004.
Posjeta: 991 *