Characterizing the topology of infinite-dimensional ๐-compact manifolds
Characterizing the topology of infinite-dimensional ๐-compact manifolds
A metric space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis upper X comma d right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>X</mml:mi> <mml:mo>,</mml:mo> <mml:mi>d</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(X,d)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, which is a countable union of finite-dimensional compacta, is a manifold modelled on the space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="l 2 Superscript โฆ