## Prime mappings, number of factors and binary operations |

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### Contents

Interesting mappings on finite powers | 5 |

Z Results | 6 |

Conventions and notation | 8 |

Copyright | |

15 other sections not shown

### Common terms and phrases

antiselective binary operation autohomeomorphism bijection canonical partition relations cardinals Claim closed subsets closed subspace cluster point co-space commutative idempotent compactification continuous binary operation continuous image coordinate axes Corollary 7.3 countably infinite Define denote determine the direction disjoint open cover elementary embedded essential in Corollary Example F r\G includes F-space fact Factors Lemma find an infinite finite powers following are equivalent following lemma G4-subset G hence homeomorph of fico homeomorphs of Q implies includes a homeomorph infinite closed infinite compact space infinite H injective interesting isolated points kfico limit points Lindelof Lindelof space locally compact space metrizable continuum neco need the following noncompact and realcompact nonconstant nonempty clopen subspace nonpseudocompact nontrivial convergent sequence Number of Factors p-prime p\kY depends Prime Mapping Lemma Proposition pseudocompact realcompact space relatively discrete result about means spaces without isolated Theorem 2.6 topological group