diff --git a/proposal.md b/proposal.md
index f0c0972..0849edd 100644
--- a/proposal.md
+++ b/proposal.md
@@ -31,7 +31,7 @@ The `opensocial.group` spaces are specifically intended for records *about* the
 
 Rather, a group hosts an additional space for each application or modality. If a group wants to enable event applications, it might create a `group.lexicon.calendar.events` space. All `group.lexicon.*` records will then be published into this modality-specific space rather than into a universal “group” space.
 
-The `members` space lists the group's spaces in a `spaces` record. The index is a discovery aid, not an exhaustive list. A group may omit a space, for instance so that members cannot learn an admin-only space exists.
+The `members` space indexes the group's spaces with a `space` record per space. The index is a discovery aid, not an exhaustive list. A group may omit a space, for instance so that members cannot learn an admin-only space exists.
 
 ## Roles & Access
 
@@ -158,7 +158,7 @@ A group may implement arbitrarily complex governance, including things like voti
 | `group.opensocial.profile` | meta | authority | `self` | Name, description, avatar, join policy. |
 | `group.opensocial.rule` | meta | authority | tid | One group rule with a stable URI a mod action can cite. |
 | `group.opensocial.permissions` | members | authority | `self` | Group-wide scope grants and each role's `assignable` list. |
-| `group.opensocial.spaces` | members | authority | `self` | Index of the group's spaces. |
+| `group.opensocial.space` | members | authority | tid | Lists one space in the group's index. |
 | `group.opensocial.role` | members | authority | role id | Declares that a role exists. |
 | `group.opensocial.membership` | members | authority | member DID | Grants a member their roles. |
 | `group.opensocial.acceptance` | members | **member** | `self` | The member's side of membership. Gates whether the member appears in the roster, not access. |
@@ -173,7 +173,7 @@ A group may implement arbitrarily complex governance, including things like voti
 | Set | Writes | Calls |
 | ----- | ----- | ----- |
 | `group.opensocial.configure` | `profile` and `rule` in `meta`; `role` and `permissions` in `members` | — |
-| `group.opensocial.manageSpaces` | the `spaces` index in `members`; `access` in `meta` and `members` | — |
+| `group.opensocial.manageSpaces` | `space` index entries in `members`; `access` in `meta` and `members` | — |
 | `group.opensocial.manageMembers` | `membership` in `members`; `invite` in invitees' `invites` spaces | `listJoinRequests`, `admitMember` |
 | `group.opensocial.moderate` | labels in `meta` and `members` | `listSubjects`, `getSubjectHistory`, `resolveSubject` |
 
@@ -191,8 +191,8 @@ Methods handle data stored privately by the host, space creation and deletion, a
 
 | Method | Auth | Requires | Purpose |
 | ----- | ----- | ----- | ----- |
-| `createSpace` | group-DID session | `manage=create` | Creates the space with its `access` record and optionally adds it to the `spaces` index. |
-| `deleteSpace` | group-DID session | `manage=delete` | Deletes the space and removes it from the `spaces` index. Cannot delete the `meta` or `members` space. |
+| `createSpace` | group-DID session | `manage=create` | Creates the space with its `access` record and optionally an index entry. |
+| `deleteSpace` | group-DID session | `manage=delete` | Deletes the space and its index entry. Cannot delete the `meta` or `members` space. |
 | `listJoinRequests` | group-DID session | `rpc:` scope | Lists pending join requests, which the host stores privately. |
 | `admitMember` | group-DID session | `rpc:` scope | Resolves a private join request and writes the membership. |
 | `listSubjects` | group-DID session | `rpc:` scope | Lists the moderation queue, which the host stores privately. |