Revision as of 21:09, 14 March 2022 edit 150.216.255.80 (talk) →The Function f as an Endomorphism ← Previous edit		Revision as of 21:10, 14 March 2022 edit undo 150.216.255.80 (talk) →Importance of the pre-conditions Next edit →
Line 29: ==Importance of the pre-conditions== The theorem holds only for functions that are ''endomorphisms'' (orfunctions that have the same set as the ___domain and range) and for sets that are ''compact'' (thus, in particular, bounded and closed) and ''convex'' (or [[Homeomorphism\|homeomorphic]] to convex). The following examples show why the pre-conditions are important. ===The Function <math>f</math> as an Endomorphism===

Brouwer fixed-point theorem: Difference between revisions