pushouts造句

• Some of the pushouts are disruptive, and might have dropped out anyway.
• So, too, one might think, is the question of the pushouts.
• More generally, all identification spaces may be regarded as pushouts in this way.
• The construction of adjunction spaces is an example of pushouts in the category of topological spaces.
• In this sense, the homotopy pushouts treats homotopic spaces as well as the ( ordinary ) pushout does with homeomorphic spaces.
• Furthermore, the latter formula is a special case of the Seifert van Kampen theorem which states that the fundamental group functor takes pushouts along inclusions to pushouts.
• Furthermore, the latter formula is a special case of the Seifert van Kampen theorem which states that the fundamental group functor takes pushouts along inclusions to pushouts.
• Usually the morphisms induced by inclusion in this theorem are not themselves injective, and the more precise version of the statement is in terms of pushouts of groups.
• Given a pre-abelian category, those kernels, which are stable under arbitrary pushouts, are sometimes called the "'semi-stable kernels " '.
• In the category of abelian groups, pushouts can be thought of as " direct sum with gluing " in the same way we think of adjunction spaces as " disjoint union with gluing ".
• If " C " is small, we may equivalently say that " C " has all pullbacks, has pushouts along monomorphisms, and admits a full embedding into a Grothendieck topos preserving pullbacks and preserving pushouts of monomorphisms.
• If " C " is small, we may equivalently say that " C " has all pullbacks, has pushouts along monomorphisms, and admits a full embedding into a Grothendieck topos preserving pullbacks and preserving pushouts of monomorphisms.
• But in a system of 1.1 million students, with tens of thousands discharged every year for various reasons, the number of so-called pushouts is surely larger than the number of students in the special school for gay, lesbian, bisexual and transgender students.
• By dividing the two conditions in the definition, one can define "'left quasi-abelian categories "'by requiring that cokernels are stable under pullbacks and "'right quasi-abelian categories "'by requiring that kernels stable under pushouts.
• RF Micro, which makes radio frequency integrated circuits for mobile phones, cut both its sales and earnings forecasts for the current quarter, blaming " customer pushouts of orders that were booked in the March quarter and had been expected to ship in the June quarter ."